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102033120002121 = 33711293115441621
BaseRepresentation
bin10111001100110001101111…
…110111111000000001001001
3111101021021022120021210221000
4113030301233313320001021
5101333202312210031441
61001001211312205213
730330435555052260
oct2714615767700111
9441237276253830
10102033120002121
112a569004274840
12b53a851539809
1344c18b32817b9
141b2a60222d5d7
15bbe1b02712b6
hex5ccc6fdf8049

102033120002121 has 128 divisors (see below), whose sum is σ = 195584954572800. Its totient is φ = 51011922528000.

The previous prime is 102033120002119. The next prime is 102033120002129. The reversal of 102033120002121 is 121200021330201.

102033120002121 is a `hidden beast` number, since 10 + 2 + 0 + 331 + 200 + 0 + 2 + 121 = 666.

It is not a de Polignac number, because 102033120002121 - 21 = 102033120002119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102033120002094 and 102033120002103.

It is not an unprimeable number, because it can be changed into a prime (102033120002129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16029691 + ... + 21471311.

It is an arithmetic number, because the mean of its divisors is an integer number (1528007457600).

Almost surely, 2102033120002121 is an apocalyptic number.

102033120002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102033120002121 is a deficient number, since it is larger than the sum of its proper divisors (93551834570679).

102033120002121 is a wasteful number, since it uses less digits than its factorization.

102033120002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441988 (or 5441982 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102033120002121 its reverse (121200021330201), we get a palindrome (223233141332322).

The spelling of 102033120002121 in words is "one hundred two trillion, thirty-three billion, one hundred twenty million, two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 29 33 63 77 87 99 189 203 231 261 297 311 319 609 693 783 933 957 1827 2079 2177 2233 2799 2871 3421 5481 6531 6699 8397 8613 9019 10263 19593 20097 23947 27057 30789 58779 60291 63133 71841 81171 92367 99209 189399 215523 243513 297627 568197 646569 694463 892881 1704591 2083389 2678643 5441621 6250167 16324863 18750501 38091347 48974589 59857831 114274041 146923767 157807009 179573493 342822123 419004817 473421027 538720479 1028466369 1104649063 1257014451 1420263081 1616161437 1692344131 1735877099 3313947189 3771043353 4260789243 5077032393 5207631297 9941841567 11313130059 11846408917 12151139693 15231097179 15622893891 18615785441 29825524701 35539226751 36453419079 45693291537 46868681673 49077979799 55847356323 106617680253 109360257237 130310498087 147233939397 167542068969 319853040759 328080771711 343545858593 390931494261 441701818191 502626206907 539857777789 1030637575779 1172794482783 1325105454573 1619573333367 3091912727337 3518383448349 3779004444523 4858720000101 9275738182011 11337013333569 14576160000303 34011040000707 102033120002121