102013111113100 has 72 divisors (see below), whose sum is σ = 243883874401776. Its totient is φ = 36728392800000.

The previous prime is 102013111113007. The next prime is 102013111113101. The reversal of 102013111113100 is 1311111310201.

It is a super-2 number, since 2×102013111113100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102013111113101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458993811 + ... + 459216010.

It is an arithmetic number, because the mean of its divisors is an integer number (3387276033358).

Almost surely, 2^{102013111113100} is an apocalyptic number.

102013111113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013111113100 is an abundant number, since it is smaller than the sum of its proper divisors (141870763288676).

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

102013111113100 is a wasteful number, since it uses less digits than its factorization.

102013111113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918209947 (or 918209940 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 102013111113100 its reverse (1311111310201), we get a palindrome (103324222423301).

The spelling of 102013111113100 in words is "one hundred two trillion, thirteen billion, one hundred eleven million, one hundred thirteen thousand, one hundred".