101345577745521 has 16 divisors (see below), whose sum is σ = 137344479212160. Its totient is φ = 66455227038720.

The previous prime is 101345577745519. The next prime is 101345577745543. The reversal of 101345577745521 is 125547775543101.

It is not a de Polignac number, because 101345577745521 - 2¹ = 101345577745519 is a prime.

It is a super-2 number, since 2×101345577745521² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101345527745521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10144081 + ... + 17481233.

It is an arithmetic number, because the mean of its divisors is an integer number (8584029950760).

Almost surely, 2^{101345577745521} is an apocalyptic number.

It is an amenable number.

101345577745521 is a deficient number, since it is larger than the sum of its proper divisors (35998901466639).

101345577745521 is an equidigital number, since it uses as much as digits as its factorization.

101345577745521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412696.

The product of its (nonzero) digits is 20580000, while the sum is 57.

The spelling of 101345577745521 in words is "one hundred one trillion, three hundred forty-five billion, five hundred seventy-seven million, seven hundred forty-five thousand, five hundred twenty-one".