10112112100 has 36 divisors (see below), whose sum is σ = 21957188400. Its totient is φ = 4042281760.

The previous prime is 10112112097. The next prime is 10112112107. The reversal of 10112112100 is 121121101.

It is a super-2 number, since 2×10112112100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10112112107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130671 + ... + 193129.

It is an arithmetic number, because the mean of its divisors is an integer number (609921900).

Almost surely, 2^10112112100 is an apocalyptic number.

10112112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112112100 is an abundant number, since it is smaller than the sum of its proper divisors (11845076300).

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

10112112100 is a wasteful number, since it uses less digits than its factorization.

10112112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64092 (or 64085 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10112112100 its reverse (121121101), we get a palindrome (10233233201).

Subtracting from 10112112100 its reverse (121121101), we obtain a palindrome (9990990999).

The spelling of 10112112100 in words is "ten billion, one hundred twelve million, one hundred twelve thousand, one hundred".