101517014138488 has 96 divisors (see below), whose sum is σ = 211699022580000. Its totient is φ = 45584271742464.

The previous prime is 101517014138479. The next prime is 101517014138597. The reversal of 101517014138488 is 884831410715101.

It is a super-2 number, since 2×101517014138488² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 740937013 + ... + 741074011.

It is an arithmetic number, because the mean of its divisors is an integer number (2205198151875).

Almost surely, 2^{101517014138488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101517014138488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105849511290000).

101517014138488 is an abundant number, since it is smaller than the sum of its proper divisors (110182008441512).

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

101517014138488 is a wasteful number, since it uses less digits than its factorization.

101517014138488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151881 (or 151864 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 52.

The spelling of 101517014138488 in words is "one hundred one trillion, five hundred seventeen billion, fourteen million, one hundred thirty-eight thousand, four hundred eighty-eight".