102010012100 has 36 divisors (see below), whose sum is σ = 222771707844. Its totient is φ = 40544100480.

The previous prime is 102010012063. The next prime is 102010012187. The reversal of 102010012100 is 1210010201.

It can be written as a sum of positive squares in 6 ways, for example, as 12379232644 + 89630779456 = 111262^2 + 299384^2 .

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, 3233027 + ... + 3264426.

Almost surely, 2^102010012100 is an apocalyptic number.

102010012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010012100 is an abundant number, since it is smaller than the sum of its proper divisors (120761695744).

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

102010012100 is a wasteful number, since it uses less digits than its factorization.

102010012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497624 (or 6497617 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102010012100 its reverse (1210010201), we get a palindrome (103220022301).

It can be divided in two parts, 1020100 and 12100, that multiplied together give a square (12343210000 = 111100²).

The spelling of 102010012100 in words is "one hundred two billion, ten million, twelve thousand, one hundred".