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122100102100 = 22521759969379
BaseRepresentation
bin111000110110110111…
…0111011001111010100
3102200011100212211222201
41301231232323033110
54000030111231400
6132031512534244
711551516513024
oct1615556731724
9380140784881
10122100102100
1147867362999
121b7b70b1384
13b68b30c832
145ca421ba84
15329953d06a
hex1c6dbbb3d4

122100102100 has 36 divisors (see below), whose sum is σ = 264976096000. Its totient is φ = 48836561760.

The previous prime is 122100102053. The next prime is 122100102119. The reversal of 122100102100 is 1201001221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1725211 + ... + 1794589.

Almost surely, 2122100102100 is an apocalyptic number.

122100102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100102100 is an abundant number, since it is smaller than the sum of its proper divisors (142875993900).

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

122100102100 is a wasteful number, since it uses less digits than its factorization.

122100102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86992 (or 86985 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122100102100 its reverse (1201001221), we get a palindrome (123301103321).

The spelling of 122100102100 in words is "one hundred twenty-two billion, one hundred million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 17599 35198 69379 70396 87995 138758 175990 277516 346895 351980 439975 693790 879950 1387580 1734475 1759900 3468950 6937900 1221001021 2442002042 4884004084 6105005105 12210010210 24420020420 30525025525 61050051050 122100102100