101852550064801 has 16 divisors (see below), whose sum is σ = 106041708759168. Its totient is φ = 97746657120000.

The previous prime is 101852550064799. The next prime is 101852550064843. The reversal of 101852550064801 is 108460055258101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101852550064801 - 2¹ = 101852550064799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101852550364801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52282360 + ... + 54195481.

It is an arithmetic number, because the mean of its divisors is an integer number (6627606797448).

Almost surely, 2^{101852550064801} is an apocalyptic number.

It is an amenable number.

101852550064801 is a deficient number, since it is larger than the sum of its proper divisors (4189158694367).

101852550064801 is a wasteful number, since it uses less digits than its factorization.

101852550064801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106478232.

The product of its (nonzero) digits is 384000, while the sum is 46.

The spelling of 101852550064801 in words is "one hundred one trillion, eight hundred fifty-two billion, five hundred fifty million, sixty-four thousand, eight hundred one".