100112100211100 has 36 divisors (see below), whose sum is σ = 217269646133904. Its totient is φ = 40039975812480.

The previous prime is 100112100211073. The next prime is 100112100211141. The reversal of 100112100211100 is 1112001211001.

It is a super-3 number, since 3×100112100211100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 59975984 + ... + 61622583.

It is an arithmetic number, because the mean of its divisors is an integer number (6035267948164).

Almost surely, 2^{100112100211100} is an apocalyptic number.

100112100211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112100211100 is an abundant number, since it is smaller than the sum of its proper divisors (117157545922804).

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

100112100211100 is a wasteful number, since it uses less digits than its factorization.

100112100211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121606814 (or 121606807 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100112100211100 its reverse (1112001211001), we get a palindrome (101224101422101).

Subtracting from 100112100211100 its reverse (1112001211001), we obtain a palindrome (99000099000099).

The spelling of 100112100211100 in words is "one hundred trillion, one hundred twelve billion, one hundred million, two hundred eleven thousand, one hundred".