10201055152365 has 128 divisors (see below), whose sum is σ = 22640743526400. Its totient is φ = 4233659685120.

The previous prime is 10201055152303. The next prime is 10201055152427. The reversal of 10201055152365 is 56325155010201.

10201055152365 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 105 + 515 + 2 + 36 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10201055152303) and next prime (10201055152427).

It is not a de Polignac number, because 10201055152365 - 2⁹ = 10201055151853 is a prime.

It is a Curzon number.

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, 7017939 + ... + 8345871.

It is an arithmetic number, because the mean of its divisors is an integer number (176880808800).

Almost surely, 2^{10201055152365} is an apocalyptic number.

10201055152365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10201055152365 is an abundant number, since it is smaller than the sum of its proper divisors (12439688374035).

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

10201055152365 is a wasteful number, since it uses less digits than its factorization.

10201055152365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328704 (or 1328698 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 10201055152365 in words is "ten trillion, two hundred one billion, fifty-five million, one hundred fifty-two thousand, three hundred sixty-five".