10112112202100 has 36 divisors (see below), whose sum is σ = 21945141400224. Its totient is φ = 4044502406880.

The previous prime is 10112112202051. The next prime is 10112112202109. The reversal of 10112112202100 is 120221121101.

It is a super-2 number, since 2×10112112202100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112112202109) 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, 3092312 + ... + 5457711.

Almost surely, 2^{10112112202100} is an apocalyptic number.

10112112202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112112202100 is an abundant number, since it is smaller than the sum of its proper divisors (11833029198124).

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

10112112202100 is a wasteful number, since it uses less digits than its factorization.

10112112202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8561864 (or 8561857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10112112202100 its reverse (120221121101), we get a palindrome (10232333323201).

The spelling of 10112112202100 in words is "ten trillion, one hundred twelve billion, one hundred twelve million, two hundred two thousand, one hundred".