101775524340821 has 16 divisors (see below), whose sum is σ = 106406370040320. Its totient is φ = 97161840238320.

The previous prime is 101775524340799. The next prime is 101775524340851. The reversal of 101775524340821 is 128043425577101.

It is a cyclic number.

It is not a de Polignac number, because 101775524340821 - 2³⁸ = 101500646433877 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101775524340821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101775524340851) 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, 599091590 + ... + 599261448.

It is an arithmetic number, because the mean of its divisors is an integer number (6650398127520).

Almost surely, 2^{101775524340821} is an apocalyptic number.

It is an amenable number.

101775524340821 is a deficient number, since it is larger than the sum of its proper divisors (4630845699499).

101775524340821 is a wasteful number, since it uses less digits than its factorization.

101775524340821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220216.

The product of its (nonzero) digits is 1881600, while the sum is 50.

The spelling of 101775524340821 in words is "one hundred one trillion, seven hundred seventy-five billion, five hundred twenty-four million, three hundred forty thousand, eight hundred twenty-one".