100322131200 has 432 divisors, whose sum is σ = 339483021696. Its totient is φ = 26080870400.

The previous prime is 100322131153. The next prime is 100322131241. The reversal of 100322131200 is 2131223001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100322131200.

It is a congruent number.

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, 316473442 + ... + 316473758.

It is an arithmetic number, because the mean of its divisors is an integer number (785840328).

Almost surely, 2^100322131200 is an apocalyptic number.

100322131200 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 100322131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169741510848).

100322131200 is an abundant number, since it is smaller than the sum of its proper divisors (239160890496).

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

100322131200 is a wasteful number, since it uses less digits than its factorization.

100322131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100322131200 its reverse (2131223001), we get a palindrome (102453354201).

The spelling of 100322131200 in words is "one hundred billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred".