101864152955520 has 256 divisors, whose sum is σ = 372406582656000. Its totient is φ = 26287523205120.

The previous prime is 101864152955387. The next prime is 101864152955533. The reversal of 101864152955520 is 25559251468101.

101864152955520 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 6 + 41 + 5 + 29 + 55 + 520 = 666.

It is a super-3 number, since 3×101864152955520³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 94543615 + ... + 95614974.

It is an arithmetic number, because the mean of its divisors is an integer number (1454713213500).

Almost surely, 2^{101864152955520} is an apocalyptic number.

101864152955520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101864152955520 is an abundant number, since it is smaller than the sum of its proper divisors (270542429700480).

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

101864152955520 is a wasteful number, since it uses less digits than its factorization.

101864152955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190158648 (or 190158630 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 54.

The spelling of 101864152955520 in words is "one hundred one trillion, eight hundred sixty-four billion, one hundred fifty-two million, nine hundred fifty-five thousand, five hundred twenty".