101501049525120 has 1024 divisors, whose sum is σ = 423073003161600. Its totient is φ = 22516182614016.

The previous prime is 101501049525103. The next prime is 101501049525233. The reversal of 101501049525120 is 21525940105101.

101501049525120 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 0 + 1 + 0 + 4 + 9 + 525 + 120 = 666.

It is a super-2 number, since 2×101501049525120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 816538812 + ... + 816663108.

It is an arithmetic number, because the mean of its divisors is an integer number (413157229650).

Almost surely, 2^{101501049525120} is an apocalyptic number.

101501049525120 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 101501049525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211536501580800).

101501049525120 is an abundant number, since it is smaller than the sum of its proper divisors (321571953636480).

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

101501049525120 is a wasteful number, since it uses less digits than its factorization.

101501049525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124532 (or 124514 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 101501049525120 in words is "one hundred one trillion, five hundred one billion, forty-nine million, five hundred twenty-five thousand, one hundred twenty".