101666115600 has 120 divisors (see below), whose sum is σ = 372194838720. Its totient is φ = 23237967360.

The previous prime is 101666115599. The next prime is 101666115601. The reversal of 101666115600 is 6511666101.

It is an interprime number because it is at equal distance from previous prime (101666115599) and next prime (101666115601).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×101666115600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101666115601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6043155 + ... + 6059954.

It is an arithmetic number, because the mean of its divisors is an integer number (3101623656).

Almost surely, 2^101666115600 is an apocalyptic number.

101666115600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101666115600 is an abundant number, since it is smaller than the sum of its proper divisors (270528723120).

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

101666115600 is a wasteful number, since it uses less digits than its factorization.

101666115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103137 (or 12103126 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 101666115600 in words is "one hundred one billion, six hundred sixty-six million, one hundred fifteen thousand, six hundred".