102013102100200 has 24 divisors (see below), whose sum is σ = 237180462383430. Its totient is φ = 40805240840000.

The previous prime is 102013102100153. The next prime is 102013102100227. The reversal of 102013102100200 is 2001201310201.

It can be written as a sum of positive squares in 3 ways, for example, as 91906005644644 + 10107096455556 = 9586762^2 + 3179166^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255032755051 + ... + 255032755450.

Almost surely, 2^{102013102100200} is an apocalyptic number.

102013102100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013102100200 is an abundant number, since it is smaller than the sum of its proper divisors (135167360283230).

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

102013102100200 is a wasteful number, since it uses less digits than its factorization.

102013102100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510065510517 (or 510065510508 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102013102100200 its reverse (2001201310201), we get a palindrome (104014303410401).

The spelling of 102013102100200 in words is "one hundred two trillion, thirteen billion, one hundred two million, one hundred thousand, two hundred".