100122311120 has 160 divisors (see below), whose sum is σ = 257052630912. Its totient is φ = 36033693696.

The previous prime is 100122311071. The next prime is 100122311161. The reversal of 100122311120 is 21113221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122311095 and 100122311104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24459794 + ... + 24463886.

Almost surely, 2^100122311120 is an apocalyptic number.

100122311120 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 100122311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128526315456).

100122311120 is an abundant number, since it is smaller than the sum of its proper divisors (156930319792).

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

100122311120 is a wasteful number, since it uses less digits than its factorization.

100122311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100122311120 its reverse (21113221001), we get a palindrome (121235532121).

The spelling of 100122311120 in words is "one hundred billion, one hundred twenty-two million, three hundred eleven thousand, one hundred twenty".