10113121112100 has 36 divisors (see below), whose sum is σ = 29260630418544. Its totient is φ = 2696832296480.

The previous prime is 10113121112071. The next prime is 10113121112189. The reversal of 10113121112100 is 121112131101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10113121112100.

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, 16855201554 + ... + 16855202153.

It is an arithmetic number, because the mean of its divisors is an integer number (812795289404).

Almost surely, 2^{10113121112100} is an apocalyptic number.

10113121112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113121112100 is an abundant number, since it is smaller than the sum of its proper divisors (19147509306444).

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

10113121112100 is a wasteful number, since it uses less digits than its factorization.

10113121112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33710403724 (or 33710403717 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 10113121112100 its reverse (121112131101), we get a palindrome (10234233243201).

The spelling of 10113121112100 in words is "ten trillion, one hundred thirteen billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".