100322012100 has 144 divisors (see below), whose sum is σ = 306116310080. Its totient is φ = 25296883200.

The previous prime is 100322012071. The next prime is 100322012117. The reversal of 100322012100 is 1210223001.

100322012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100322012100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3067434 + ... + 3099966.

Almost surely, 2^100322012100 is an apocalyptic number.

100322012100 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 100322012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153058155040).

100322012100 is an abundant number, since it is smaller than the sum of its proper divisors (205794297980).

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

100322012100 is a wasteful number, since it uses less digits than its factorization.

100322012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33110 (or 33103 counting only the distinct ones).

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

Adding to 100322012100 its reverse (1210223001), we get a palindrome (101532235101).

The spelling of 100322012100 in words is "one hundred billion, three hundred twenty-two million, twelve thousand, one hundred".