101139239520 has 1536 divisors, whose sum is σ = 430892421120. Its totient is φ = 21897216000.

The previous prime is 101139239447. The next prime is 101139239533. The reversal of 101139239520 is 25932931101.

101139239520 is a `hidden beast` number, since 1 + 0 + 1 + 13 + 92 + 39 + 520 = 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 255 ways as a sum of consecutive naturals, for example, 1658020290 + ... + 1658020350.

It is an arithmetic number, because the mean of its divisors is an integer number (280528920).

Almost surely, 2^101139239520 is an apocalyptic number.

101139239520 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 101139239520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215446210560).

101139239520 is an abundant number, since it is smaller than the sum of its proper divisors (329753181600).

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

101139239520 is a wasteful number, since it uses less digits than its factorization.

101139239520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 101139239520 in words is "one hundred one billion, one hundred thirty-nine million, two hundred thirty-nine thousand, five hundred twenty".