100031122011120 has 160 divisors (see below), whose sum is σ = 312851016878400. Its totient is φ = 26438031900672.

The previous prime is 100031122011091. The next prime is 100031122011199. The reversal of 100031122011120 is 21110221130001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100031122011120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1548221376 + ... + 1548285984.

It is an arithmetic number, because the mean of its divisors is an integer number (1955318855490).

Almost surely, 2^{100031122011120} is an apocalyptic number.

100031122011120 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 100031122011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156425508439200).

100031122011120 is an abundant number, since it is smaller than the sum of its proper divisors (212819894867280).

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

100031122011120 is a wasteful number, since it uses less digits than its factorization.

100031122011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121827 (or 121821 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100031122011120 its reverse (21110221130001), we get a palindrome (121141343141121).

The spelling of 100031122011120 in words is "one hundred trillion, thirty-one billion, one hundred twenty-two million, eleven thousand, one hundred twenty".