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122100210102 = 231326340114843
BaseRepresentation
bin111000110110110111…
…1010101100110110110
3102200011101002100010210
41301231233111212312
54000030123210402
6132031515130250
711551520442633
oct1615557254666
9380141070123
10122100210102
1147867427052
121b7b7143986
13b68b349a40
145ca424918a
15329956006c
hex1c6dbd59b6

122100210102 has 64 divisors (see below), whose sum is σ = 264661157376. Its totient is φ = 37330598400.

The previous prime is 122100210077. The next prime is 122100210103. The reversal of 122100210102 is 201012001221.

It is a super-2 number, since 2×1221002101022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8218693 + ... + 8233535.

It is an arithmetic number, because the mean of its divisors is an integer number (4135330584).

Almost surely, 2122100210102 is an apocalyptic number.

122100210102 is an abundant number, since it is smaller than the sum of its proper divisors (142560947274).

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

122100210102 is a wasteful number, since it uses less digits than its factorization.

122100210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15525.

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

Adding to 122100210102 its reverse (201012001221), we get a palindrome (323112211323).

The spelling of 122100210102 in words is "one hundred twenty-two billion, one hundred million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 263 401 526 789 802 1203 1578 2406 3419 5213 6838 10257 10426 14843 15639 20514 29686 31278 44529 89058 105463 192959 210926 316389 385918 578877 632778 1157754 1371019 2742038 3903709 4113057 5952043 7807418 8226114 11711127 11904086 17856129 23422254 35712258 50748217 77376559 101496434 152244651 154753118 232129677 304489302 464259354 1565387309 3130774618 4696161927 9392323854 20350035017 40700070034 61050105051 122100210102