100031011122 has 64 divisors (see below), whose sum is σ = 232210621440. Its totient is φ = 28134824256.

The previous prime is 100031011081. The next prime is 100031011123. The reversal of 100031011122 is 221110130001.

It is a junction number, because it is equal to n+sod(n) for n = 100031011098 and 100031011107.

It is not an unprimeable number, because it can be changed into a prime (100031011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4482829 + ... + 4505087.

It is an arithmetic number, because the mean of its divisors is an integer number (3628290960).

Almost surely, 2^100031011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100031011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116105310720).

100031011122 is an abundant number, since it is smaller than the sum of its proper divisors (132179610318).

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

100031011122 is a wasteful number, since it uses less digits than its factorization.

100031011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23935.

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

Adding to 100031011122 its reverse (221110130001), we get a palindrome (321141141123).

The spelling of 100031011122 in words is "one hundred billion, thirty-one million, eleven thousand, one hundred twenty-two".