101501511166160 has 160 divisors (see below), whose sum is σ = 272863975587840. Its totient is φ = 34394124962304.

The previous prime is 101501511166141. The next prime is 101501511166189. The reversal of 101501511166160 is 61661115105101.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 101501511166160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27263801 + ... + 30762279.

It is an arithmetic number, because the mean of its divisors is an integer number (1705399847424).

Almost surely, 2^{101501511166160} is an apocalyptic number.

101501511166160 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 101501511166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136431987793920).

101501511166160 is an abundant number, since it is smaller than the sum of its proper divisors (171362464421680).

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

101501511166160 is a wasteful number, since it uses less digits than its factorization.

101501511166160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499105 (or 3499099 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 35.

The spelling of 101501511166160 in words is "one hundred one trillion, five hundred one billion, five hundred eleven million, one hundred sixty-six thousand, one hundred sixty".