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122101102100 = 22521221011021
BaseRepresentation
bin111000110110111001…
…0101111011000010100
3102200011102202122201202
41301231302233120110
54000030340231400
6132031550212032
711551531146335
oct1615562573024
9380142678652
10122101102100
114786798623a
121b7b74b4018
13b68b59ca53
145ca43dc28c
1532996894d5
hex1c6dcaf614

122101102100 has 18 divisors (see below), whose sum is σ = 264959391774. Its totient is φ = 48840440800.

The previous prime is 122101102091. The next prime is 122101102117. The reversal of 122101102100 is 1201101221.

It can be written as a sum of positive squares in 3 ways, for example, as 31781619076 + 90319483024 = 178274^2 + 300532^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610505411 + ... + 610505610.

Almost surely, 2122101102100 is an apocalyptic number.

122101102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101102100 is an abundant number, since it is smaller than the sum of its proper divisors (142858289674).

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

122101102100 is a wasteful number, since it uses less digits than its factorization.

122101102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221011035 (or 1221011028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122101102100 its reverse (1201101221), we get a palindrome (123302203321).

The spelling of 122101102100 in words is "one hundred twenty-two billion, one hundred one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1221011021 2442022042 4884044084 6105055105 12210110210 24420220420 30525275525 61050551050 122101102100