10113010113100 has 72 divisors (see below), whose sum is σ = 22465160137728. Its totient is φ = 3949444968000.

The previous prime is 10113010113091. The next prime is 10113010113121. The reversal of 10113010113100 is 131101031101.

It is a super-2 number, since 2×10113010113100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9609117 + ... + 10609483.

It is an arithmetic number, because the mean of its divisors is an integer number (312016113024).

Almost surely, 2^{10113010113100} is an apocalyptic number.

10113010113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113010113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232580068864).

10113010113100 is an abundant number, since it is smaller than the sum of its proper divisors (12352150024628).

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

10113010113100 is a wasteful number, since it uses less digits than its factorization.

10113010113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002775 (or 1002768 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10113010113100 its reverse (131101031101), we get a palindrome (10244111144201).

The spelling of 10113010113100 in words is "ten trillion, one hundred thirteen billion, ten million, one hundred thirteen thousand, one hundred".