101166170720 has 48 divisors (see below), whose sum is σ = 240325617168. Its totient is φ = 40242885120.

The previous prime is 101166170701. The next prime is 101166170759. The reversal of 101166170720 is 27071661101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1717694 + ... + 1775613.

It is an arithmetic number, because the mean of its divisors is an integer number (5006783691).

Almost surely, 2^101166170720 is an apocalyptic number.

101166170720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101166170720 is an abundant number, since it is smaller than the sum of its proper divisors (139159446448).

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

101166170720 is a wasteful number, since it uses less digits than its factorization.

101166170720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493503 (or 3493495 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The spelling of 101166170720 in words is "one hundred one billion, one hundred sixty-six million, one hundred seventy thousand, seven hundred twenty".