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101121211100202 = 23177167739075279
BaseRepresentation
bin10110111111100000011101…
…110111011110110000101010
3111021001002112001210211102020
4112333200131313132300222
5101223232220020201302
6555022235411445310
730204523610223126
oct2677403567366052
9437032461724366
10101121211100202
112a2472a0494747
12b411b74bb6836
1344568c64a8887
141ad8415380586
15ba55dc4baebc
hex5bf81dddec2a

101121211100202 has 128 divisors (see below), whose sum is σ = 217572708925440. Its totient is φ = 31217371960320.

The previous prime is 101121211100183. The next prime is 101121211100233. The reversal of 101121211100202 is 202001112121101.

It is a happy 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, 19155369799 + ... + 19155375077.

It is an arithmetic number, because the mean of its divisors is an integer number (1699786788480).

Almost surely, 2101121211100202 is an apocalyptic number.

101121211100202 is an abundant number, since it is smaller than the sum of its proper divisors (116451497825238).

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

101121211100202 is a wasteful number, since it uses less digits than its factorization.

101121211100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9956.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121211100202 its reverse (202001112121101), we get a palindrome (303122323221303).

The spelling of 101121211100202 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 17 34 51 71 102 142 213 426 677 1207 1354 2031 2414 3621 3907 4062 5279 7242 7814 10558 11509 11721 15837 23018 23442 31674 34527 48067 66419 69054 89743 96134 132838 144201 179486 199257 269229 277397 288402 374809 398514 538458 554794 749618 817139 832191 1124427 1634278 1664382 2248854 2451417 2645039 3573883 4715749 4902834 5290078 6371753 7147766 7935117 9431498 10721649 12743506 14147247 15870234 19115259 20625053 21443298 28294494 38230518 41250106 44965663 60756011 61875159 89931326 121512022 123750318 134896989 182268033 187797769 253745693 269793978 350625901 364536066 375595538 507491386 563393307 701251802 761237079 1051877703 1126786614 1464378763 1522474158 2103755406 2928757526 3192562073 4313676781 4393136289 6385124146 8627353562 8786272578 9577686219 12941030343 13963160881 19155372438 24894438971 25882060686 27926321762 41889482643 49788877942 74683316913 83778965286 149366633826 237373734977 474747469954 712121204931 991384422551 1424242409862 1982768845102 2974153267653 5948306535306 16853535183367 33707070366734 50560605550101 101121211100202