100216661600 has 72 divisors (see below), whose sum is σ = 266895214488. Its totient is φ = 36442419200.

The previous prime is 100216661561. The next prime is 100216661617. The reversal of 100216661600 is 6166612001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5685329 + ... + 5702928.

It is an arithmetic number, because the mean of its divisors is an integer number (3706877979).

Almost surely, 2^100216661600 is an apocalyptic number.

100216661600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100216661600 is an abundant number, since it is smaller than the sum of its proper divisors (166678552888).

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

100216661600 is a wasteful number, since it uses less digits than its factorization.

100216661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11388288 (or 11388275 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 100216661600 in words is "one hundred billion, two hundred sixteen million, six hundred sixty-one thousand, six hundred".