10011220112100 has 72 divisors (see below), whose sum is σ = 29010985865568. Its totient is φ = 2665493811200.

The previous prime is 10011220112057. The next prime is 10011220112123. The reversal of 10011220112100 is 121102211001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 25837914 + ... + 26222513.

It is an arithmetic number, because the mean of its divisors is an integer number (402930359244).

Almost surely, 2^{10011220112100} is an apocalyptic number.

10011220112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011220112100 is an abundant number, since it is smaller than the sum of its proper divisors (18999765753468).

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

10011220112100 is a wasteful number, since it uses less digits than its factorization.

10011220112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52061085 (or 52061078 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011220112100 its reverse (121102211001), we get a palindrome (10132322323101).

The spelling of 10011220112100 in words is "ten trillion, eleven billion, two hundred twenty million, one hundred twelve thousand, one hundred".