100216644000 has 384 divisors, whose sum is σ = 361750281984. Its totient is φ = 24051200000.

The previous prime is 100216643981. The next prime is 100216644037. The reversal of 100216644000 is 446612001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13328242 + ... + 13335758.

It is an arithmetic number, because the mean of its divisors is an integer number (942058026).

Almost surely, 2^100216644000 is an apocalyptic number.

100216644000 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 100216644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180875140992).

100216644000 is an abundant number, since it is smaller than the sum of its proper divisors (261533637984).

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

100216644000 is a wasteful number, since it uses less digits than its factorization.

100216644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 100216644000 in words is "one hundred billion, two hundred sixteen million, six hundred forty-four thousand".