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102101010200022 = 238921123936710331
BaseRepresentation
bin10111001101110000111110…
…011100011011010111010110
3111101111202112221200012102010
4113031300332130123113112
5101340310332102400042
61001052320114525050
730335361133161351
oct2715607634332726
9441452487605363
10102101010200022
112a594882543309
12b54ba39896786
1344c8112588832
141b2da02967298
15bc0d3553059c
hex5cdc3e71b5d6

102101010200022 has 128 divisors (see below), whose sum is σ = 208931092070400. Its totient is φ = 33257555654400.

The previous prime is 102101010199963. The next prime is 102101010200023. The reversal of 102101010200022 is 220002010101201.

It is a junction number, because it is equal to n+sod(n) for n = 102101010199980 and 102101010200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101010200023) 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, 9882969397 + ... + 9882979727.

It is an arithmetic number, because the mean of its divisors is an integer number (1632274156800).

Almost surely, 2102101010200022 is an apocalyptic number.

102101010200022 is an abundant number, since it is smaller than the sum of its proper divisors (106830081870378).

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

102101010200022 is a wasteful number, since it uses less digits than its factorization.

102101010200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101010200022 its reverse (220002010101201), we get a palindrome (322103020301223).

The spelling of 102101010200022 in words is "one hundred two trillion, one hundred one billion, ten million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 89 178 211 239 267 367 422 478 534 633 717 734 1101 1266 1434 2202 10331 18779 20662 21271 30993 32663 37558 42542 50429 56337 61986 63813 65326 77437 87713 97989 100858 112674 127626 151287 154874 175426 195978 232311 263139 302574 464622 526278 919459 1838918 2179841 2469109 2758377 3791477 4359682 4488181 4938218 5516754 6539523 6891893 7407327 7582954 7806457 8976362 11374431 13079046 13464543 13783786 14814654 15612914 18507443 20675679 22748862 23419371 26929086 37014886 41351358 46838742 55522329 111044658 194005849 219750701 337441453 388011698 439501402 520981999 582017547 659252103 674882906 800001647 906163003 1012324359 1041963998 1164035094 1318504206 1562945997 1600003294 1647162427 1812326006 2024648718 2400004941 2718489009 3125891994 3294324854 4800009882 4941487281 5436978018 9882974562 46367397911 71200146583 80648507267 92734795822 139102193733 142400293166 161297014534 191200393633 213600439749 241945521801 278204387466 382400787266 427200879498 483891043602 573601180899 1147202361798 17016835033337 34033670066674 51050505100011 102101010200022