101000511010561 has 4 divisors (see below), whose sum is σ = 106941717540612. Its totient is φ = 95059304480512.

The previous prime is 101000511010541. The next prime is 101000511010681. The reversal of 101000511010561 is 165010115000101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 91371498616336 + 9629012394225 = 9558844^2 + 3103065^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000511010561 - 2¹⁹ = 101000510486273 is a prime.

It is a super-2 number, since 2×101000511010561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000511010541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2970603265000 + ... + 2970603265033.

It is an arithmetic number, because the mean of its divisors is an integer number (26735429385153).

Almost surely, 2^{101000511010561} is an apocalyptic number.

It is an amenable number.

101000511010561 is a deficient number, since it is larger than the sum of its proper divisors (5941206530051).

101000511010561 is an equidigital number, since it uses as much as digits as its factorization.

101000511010561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941206530050.

The product of its (nonzero) digits is 150, while the sum is 22.

Adding to 101000511010561 its reverse (165010115000101), we get a palindrome (266010626010662).

The spelling of 101000511010561 in words is "one hundred one trillion, five hundred eleven million, ten thousand, five hundred sixty-one".