102100212121100 has 72 divisors (see below), whose sum is σ = 227552749910640. Its totient is φ = 39742023847680.

The previous prime is 102100212121081. The next prime is 102100212121157. The reversal of 102100212121100 is 1121212001201.

It is a super-2 number, since 2×102100212121100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42977567 + ... + 45290966.

It is an arithmetic number, because the mean of its divisors is an integer number (3160454859870).

Almost surely, 2^{102100212121100} is an apocalyptic number.

102100212121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100212121100 is an abundant number, since it is smaller than the sum of its proper divisors (125452537789540).

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

102100212121100 is a wasteful number, since it uses less digits than its factorization.

102100212121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88268859 (or 88268852 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102100212121100 its reverse (1121212001201), we get a palindrome (103221424122301).

The spelling of 102100212121100 in words is "one hundred two trillion, one hundred billion, two hundred twelve million, one hundred twenty-one thousand, one hundred".