101666708400 has 60 divisors (see below), whose sum is σ = 325672359752. Its totient is φ = 27111121920.

The previous prime is 101666708399. The next prime is 101666708417. The reversal of 101666708400 is 4807666101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×101666708400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42359929 + ... + 42362328.

Almost surely, 2^101666708400 is an apocalyptic number.

101666708400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101666708400 is an abundant number, since it is smaller than the sum of its proper divisors (224005651352).

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

101666708400 is a wasteful number, since it uses less digits than its factorization.

101666708400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84722278 (or 84722267 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 101666708400 in words is "one hundred one billion, six hundred sixty-six million, seven hundred eight thousand, four hundred".