101537008048112 has 160 divisors (see below), whose sum is σ = 243063973660032. Its totient is φ = 40013121687552.

The previous prime is 101537008048111. The next prime is 101537008048153. The reversal of 101537008048112 is 211840800735101.

It is a super-2 number, since 2×101537008048112² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101537008048112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101537008048111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954268898 + ... + 954375294.

Almost surely, 2^{101537008048112} 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 101537008048112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121531986830016).

101537008048112 is an abundant number, since it is smaller than the sum of its proper divisors (141526965611920).

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

101537008048112 is a wasteful number, since it uses less digits than its factorization.

101537008048112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108955 (or 108949 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 41.

The spelling of 101537008048112 in words is "one hundred one trillion, five hundred thirty-seven billion, eight million, forty-eight thousand, one hundred twelve".