102012021020100 has 144 divisors (see below), whose sum is σ = 313765375855680. Its totient is φ = 25516294848000.

The previous prime is 102012021020083. The next prime is 102012021020191. The reversal of 102012021020100 is 1020120210201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88022547 + ... + 89173946.

It is an arithmetic number, because the mean of its divisors is an integer number (2178926221220).

Almost surely, 2^{102012021020100} is an apocalyptic number.

102012021020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012021020100 is an abundant number, since it is smaller than the sum of its proper divisors (211753354835580).

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

102012021020100 is a wasteful number, since it uses less digits than its factorization.

102012021020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177196630 (or 177196623 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102012021020100 its reverse (1020120210201), we get a palindrome (103032141230301).

102012021020100 divided by its reverse (1020120210201) gives a square (100 = 10²).

The spelling of 102012021020100 in words is "one hundred two trillion, twelve billion, twenty-one million, twenty thousand, one hundred".