100322113122 has 96 divisors (see below), whose sum is σ = 271330001280. Its totient is φ = 26025960960.

The previous prime is 100322113109. The next prime is 100322113147. The reversal of 100322113122 is 221311223001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100322113095 and 100322113104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105338 + ... + 1192650.

It is an arithmetic number, because the mean of its divisors is an integer number (2826354180).

Almost surely, 2^100322113122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100322113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135665000640).

100322113122 is an abundant number, since it is smaller than the sum of its proper divisors (171007888158).

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

100322113122 is a wasteful number, since it uses less digits than its factorization.

100322113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88168 (or 88165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100322113122 its reverse (221311223001), we get a palindrome (321633336123).

It can be divided in two parts, 100322 and 113122, that added together give a square (213444 = 462²).

The spelling of 100322113122 in words is "one hundred billion, three hundred twenty-two million, one hundred thirteen thousand, one hundred twenty-two".