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101210011221102 = 23747311234170423
BaseRepresentation
bin10111000000110011001010…
…110001000011110001101110
3111021100120201200220100211220
4113000303022301003301232
5101231211100333033402
6555131123130324210
730214116266623650
oct2700631261036156
9437316650810756
10101210011221102
112a280a19881913
12b427217b89666
1344620a8849704
141adc83ab806d0
15ba7a88332dbc
hex5c0ccac43c6e

101210011221102 has 128 divisors (see below), whose sum is σ = 237123525869568. Its totient is φ = 28198433577600.

The previous prime is 101210011221097. The next prime is 101210011221217. The reversal of 101210011221102 is 201122110012101.

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, 1437137463 + ... + 1437207885.

It is an arithmetic number, because the mean of its divisors is an integer number (1852527545856).

Almost surely, 2101210011221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210011221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118561762934784).

101210011221102 is an abundant number, since it is smaller than the sum of its proper divisors (135913514648466).

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

101210011221102 is a wasteful number, since it uses less digits than its factorization.

101210011221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73134.

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

Adding to 101210011221102 its reverse (201122110012101), we get a palindrome (302332121233203).

The spelling of 101210011221102 in words is "one hundred one trillion, two hundred ten billion, eleven million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 311 329 622 658 933 987 1866 1974 2177 2341 4354 4682 6531 7023 13062 14046 14617 16387 29234 32774 43851 49161 70423 87702 98322 102319 110027 140846 204638 211269 220054 306957 330081 422538 492961 613914 660162 728051 770189 985922 1456102 1478883 1540378 2184153 2310567 2957766 3309881 4368306 4621134 5096357 6619762 9929643 10192714 15289071 19859286 21901553 23169167 30578142 34218397 43803106 46338334 65704659 68436794 69507501 102655191 131409318 139015002 153310871 164860243 205310382 239528779 306621742 329720486 459932613 479057558 494580729 718586337 919865226 989161458 1029372991 1154021701 1437172674 2058745982 2308043402 3088118973 3462065103 6176237946 6924130206 7205610937 7748431421 14411221874 15496862842 21616832811 23245294263 43233665622 46490588526 51271535573 54239019947 102543071146 108478039894 153814606719 162717059841 307629213438 325434119682 358900749011 717801498022 1076702247033 2153404494066 2409762171931 4819524343862 7229286515793 14458573031586 16868335203517 33736670407034 50605005610551 101210011221102