100111121120 has 96 divisors (see below), whose sum is σ = 250842070080. Its totient is φ = 37675376640.

The previous prime is 100111121083. The next prime is 100111121137. The reversal of 100111121120 is 21121111001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1496 + ... + 447464.

It is an arithmetic number, because the mean of its divisors is an integer number (2612938230).

Almost surely, 2^100111121120 is an apocalyptic number.

100111121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125421035040).

100111121120 is an abundant number, since it is smaller than the sum of its proper divisors (150730948960).

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

100111121120 is a wasteful number, since it uses less digits than its factorization.

100111121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446068 (or 446060 counting only the distinct ones).

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

Adding to 100111121120 its reverse (21121111001), we get a palindrome (121232232121).

The spelling of 100111121120 in words is "one hundred billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".