100845212100 has 144 divisors (see below), whose sum is σ = 313294697856. Its totient is φ = 24953600000.

The previous prime is 100845212099. The next prime is 100845212173. The reversal of 100845212100 is 1212548001.

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, 222850 + ... + 501350.

It is an arithmetic number, because the mean of its divisors is an integer number (2175657624).

Almost surely, 2^100845212100 is an apocalyptic number.

100845212100 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 100845212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156647348928).

100845212100 is an abundant number, since it is smaller than the sum of its proper divisors (212449485756).

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

100845212100 is a wasteful number, since it uses less digits than its factorization.

100845212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278606 (or 278599 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 100845212100 in words is "one hundred billion, eight hundred forty-five million, two hundred twelve thousand, one hundred".