101240569152 has 168 divisors, whose sum is σ = 305979433760. Its totient is φ = 31916436480.

The previous prime is 101240569127. The next prime is 101240569189. The reversal of 101240569152 is 251965042101.

101240569152 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 40 + 569 + 1 + 52 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6701127 + ... + 6716217.

Almost surely, 2^101240569152 is an apocalyptic number.

101240569152 is a gapful number since it is divisible by the number (12) 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 101240569152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152989716880).

101240569152 is an abundant number, since it is smaller than the sum of its proper divisors (204738864608).

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

101240569152 is a wasteful number, since it uses less digits than its factorization.

101240569152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15741 (or 15728 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 101240569152 in words is "one hundred one billion, two hundred forty million, five hundred sixty-nine thousand, one hundred fifty-two".