102112221022100 has 36 divisors (see below), whose sum is σ = 221595513429948. Its totient is φ = 40842677568000.

The previous prime is 102112221022073. The next prime is 102112221022129. The reversal of 102112221022100 is 1220122211201.

It can be written as a sum of positive squares in 6 ways, for example, as 22777500766084 + 79334720256016 = 4772578^2 + 8907004^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25778171 + ... + 29474370.

Almost surely, 2^{102112221022100} is an apocalyptic number.

102112221022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112221022100 is an abundant number, since it is smaller than the sum of its proper divisors (119483292407848).

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

102112221022100 is a wasteful number, since it uses less digits than its factorization.

102112221022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55271036 (or 55271029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102112221022100 its reverse (1220122211201), we get a palindrome (103332343233301).

The spelling of 102112221022100 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred".