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101012210022102 = 23532394451298601
BaseRepresentation
bin10110111101111010111100…
…111001010111011011010110
3111020122200011121001100021120
4112331322330321113123112
5101214441001231201402
6554500211344224410
730163614505313331
oct2675727471273326
9436580147040246
10101012210022102
112a2050461a1425
12b3b4a1490b106
134449544c2c222
141ad3034b07618
15ba285ce403bc
hex5bdebce576d6

101012210022102 has 64 divisors (see below), whose sum is σ = 206744571694080. Its totient is φ = 32889715040000.

The previous prime is 101012210022067. The next prime is 101012210022103. The reversal of 101012210022102 is 201220012210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012210022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338135602 + ... + 338434202.

It is an arithmetic number, because the mean of its divisors is an integer number (3230383932720).

Almost surely, 2101012210022102 is an apocalyptic number.

101012210022102 is an abundant number, since it is smaller than the sum of its proper divisors (105732361671978).

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

101012210022102 is a wasteful number, since it uses less digits than its factorization.

101012210022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303349.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101012210022102 its reverse (201220012210101), we get a palindrome (302232222232203).

The spelling of 101012210022102 in words is "one hundred one trillion, twelve billion, two hundred ten million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 53 106 159 239 318 478 717 1434 4451 8902 12667 13353 25334 26706 38001 76002 235903 298601 471806 597202 707709 895803 1063789 1415418 1791606 2127578 3191367 6382734 15825853 31651706 47477559 56380817 71365639 94955118 112761634 142731278 169142451 214096917 338284902 428193834 1329073051 2658146102 3782378867 3987219153 7564757734 7974438306 11347136601 22694273202 70440871703 140881743406 211322615109 317648459189 422645230218 635296918378 952945377567 1905890755134 16835368337017 33670736674034 50506105011051 101012210022102