100511056050561 has 24 divisors (see below), whose sum is σ = 156351477702056. Its totient is φ = 61852583301120.

The previous prime is 100511056050439. The next prime is 100511056050563. The reversal of 100511056050561 is 165050650115001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54240927144336 + 46270128906225 = 7364844^2 + 6802215^2 .

It is not a de Polignac number, because 100511056050561 - 2²⁷ = 100510921832833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100511056050563) 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 23 ways as a sum of consecutive naturals, for example, 17479431 + ... + 22506723.

Almost surely, 2^{100511056050561} is an apocalyptic number.

It is an amenable number.

100511056050561 is a deficient number, since it is larger than the sum of its proper divisors (55840421651495).

100511056050561 is a wasteful number, since it uses less digits than its factorization.

100511056050561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198193 (or 5198190 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 100511056050561 in words is "one hundred trillion, five hundred eleven billion, fifty-six million, fifty thousand, five hundred sixty-one".