101481654141584 has 160 divisors (see below), whose sum is σ = 221621724587520. Its totient is φ = 44797971677184.

The previous prime is 101481654141563. The next prime is 101481654141613. The reversal of 101481654141584 is 485141456184101.

It is a super-2 number, since 2×101481654141584² (a number of 29 digits) contains 22 as substring.

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, 30090452 + ... + 33292620.

It is an arithmetic number, because the mean of its divisors is an integer number (1385135778672).

Almost surely, 2^{101481654141584} 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 101481654141584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110810862293760).

101481654141584 is an abundant number, since it is smaller than the sum of its proper divisors (120140070445936).

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

101481654141584 is a wasteful number, since it uses less digits than its factorization.

101481654141584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202345 (or 3202339 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 53.

The spelling of 101481654141584 in words is "one hundred one trillion, four hundred eighty-one billion, six hundred fifty-four million, one hundred forty-one thousand, five hundred eighty-four".