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102121212021110 = 251923471450334283
BaseRepresentation
bin10111001110000011110010…
…100100010000100101110110
3111101120200200211222001010222
4113032003302210100211312
5101341123220234133420
61001105500454014342
730340004555626052
oct2716036244204566
9441520624861128
10102121212021110
112a5a23a9989517
12b5539373473b2
1344c9cb1a07619
141b3099b986c62
15bc1618d65225
hex5ce0f2910976

102121212021110 has 128 divisors (see below), whose sum is σ = 206221650001920. Its totient is φ = 36224888743296.

The previous prime is 102121212021097. The next prime is 102121212021119. The reversal of 102121212021110 is 11120212121201.

102121212021110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121212021119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2978754029 + ... + 2978788311.

It is an arithmetic number, because the mean of its divisors is an integer number (1611106640640).

Almost surely, 2102121212021110 is an apocalyptic number.

102121212021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102121212021110 is an abundant number, since it is smaller than the sum of its proper divisors (104100437980810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121212021110 is a wasteful number, since it uses less digits than its factorization.

102121212021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48882.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102121212021110 its reverse (11120212121201), we get a palindrome (113241424142311).

The spelling of 102121212021110 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twelve million, twenty-one thousand, one hundred ten".

Divisors: 1 2 5 10 19 23 38 46 47 94 95 115 190 230 235 437 470 874 893 1081 1786 2162 2185 4370 4465 5405 8930 10810 14503 20539 29006 34283 41078 68566 72515 102695 145030 171415 205390 275557 333569 342830 551114 651377 667138 681641 788509 1302754 1363282 1377785 1577018 1611301 1667845 2755570 3222602 3256885 3335690 3408205 3942545 6337811 6513770 6816410 7885090 8056505 12675622 12951179 14981671 15677743 16113010 25902358 29963342 30614719 31355486 31689055 37059923 61229438 63378110 64755895 74119846 74908355 78388715 129511790 149816710 153073595 156777430 185299615 297877117 306147190 370599230 497206349 595754234 704138537 994412698 1408277074 1489385585 2486031745 2978771170 3520692685 4972063490 7041385370 9446920631 11435746027 18893841262 22871492054 23368698403 46737396806 47234603155 57178730135 94469206310 114357460270 116843492015 217279174513 233686984030 434558349026 444005269657 537480063269 888010539314 1074960126538 1086395872565 2172791745130 2220026348285 2687400316345 4440052696570 5374800632690 10212121202111 20424242404222 51060606010555 102121212021110