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102212021200102 = 2117310113113735111
BaseRepresentation
bin10111001111011000010111…
…001101110010010011100110
3111101220101002111110022011121
4113033120113031302103212
5101344120204411400402
61001215315421524154
730346401112126042
oct2717302715622346
9441811074408147
10102212021200102
112a62796933a780
12b56945b11365a
134505724374728
141b3513411d022
15bc3b8127d837
hex5cf6173724e6

102212021200102 has 128 divisors (see below), whose sum is σ = 173797280971776. Its totient is φ = 44693625600000.

The previous prime is 102212021200039. The next prime is 102212021200111. The reversal of 102212021200102 is 201002120212201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2911093527 + ... + 2911128637.

It is an arithmetic number, because the mean of its divisors is an integer number (1357791257592).

Almost surely, 2102212021200102 is an apocalyptic number.

102212021200102 is a deficient number, since it is larger than the sum of its proper divisors (71585259771674).

102212021200102 is a wasteful number, since it uses less digits than its factorization.

102212021200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35566.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212021200102 its reverse (201002120212201), we get a palindrome (303214141412303).

It can be divided in two parts, 1022120 and 21200102, that added together give a palindrome (22222222).

The spelling of 102212021200102 in words is "one hundred two trillion, two hundred twelve billion, twenty-one million, two hundred thousand, one hundred two".

Divisors: 1 2 11 22 73 101 131 137 146 202 262 274 803 1111 1441 1507 1606 2222 2882 3014 7373 9563 10001 13231 13837 14746 17947 19126 20002 26462 27674 35111 35894 70222 81103 105193 110011 145541 152207 162206 197417 210386 220022 291082 304414 386221 394834 772442 965863 1010101 1310131 1812647 1931726 2020202 2563103 2620262 3546211 3625294 4599541 4810207 5126206 7092422 9199082 9620414 10624493 11111111 14411441 19939117 21248986 22222222 28194133 28822882 39008321 39878234 50594951 52912277 56388266 78016642 101189902 105824554 132323231 258873403 264646462 335766493 351145111 464553641 485830907 517746806 630137117 671532986 702290222 929107282 971661814 1260274234 1455555541 2847607433 2911111082 3693431423 3862596221 5110090051 5344139977 5695214866 6931508287 7386862846 7725192442 10220180102 10688279954 13863016574 33912415793 35465656211 46000009541 63643848817 67824831586 70931312422 92000019082 127287697634 373036573723 390122218321 506000104951 700082336987 746073147446 780244436642 1012000209902 1400164673974 4646000963641 9292001927282 51106010600051 102212021200102