102002010021200 has 60 divisors (see below), whose sum is σ = 245787009902460. Its totient is φ = 40679733319680.

The previous prime is 102002010021169. The next prime is 102002010021217. The reversal of 102002010021200 is 2120010200201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20132738250304 + 81869271770896 = 4486952^2 + 9048164^2 .

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, 378210935 + ... + 378480534.

It is an arithmetic number, because the mean of its divisors is an integer number (4096450165041).

Almost surely, 2^{102002010021200} is an apocalyptic number.

102002010021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002010021200 is an abundant number, since it is smaller than the sum of its proper divisors (143784999881260).

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

102002010021200 is a wasteful number, since it uses less digits than its factorization.

102002010021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756691824 (or 756691813 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102002010021200 its reverse (2120010200201), we get a palindrome (104122020221401).

The spelling of 102002010021200 in words is "one hundred two trillion, two billion, ten million, twenty-one thousand, two hundred".