100120031022 has 128 divisors (see below), whose sum is σ = 229001084928. Its totient is φ = 28917660800.

The previous prime is 100120031009. The next prime is 100120031059. The reversal of 100120031022 is 220130021001.

It is a super-2 number, since 2×100120031022² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100120030989 and 100120031007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18277348 + ... + 18282824.

It is an arithmetic number, because the mean of its divisors is an integer number (1789070976).

Almost surely, 2^100120031022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120031022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114500542464).

100120031022 is an abundant number, since it is smaller than the sum of its proper divisors (128881053906).

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

100120031022 is a wasteful number, since it uses less digits than its factorization.

100120031022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100120031022 its reverse (220130021001), we get a palindrome (320250052023).

The spelling of 100120031022 in words is "one hundred billion, one hundred twenty million, thirty-one thousand, twenty-two".