1056101100561 has 24 divisors (see below), whose sum is σ = 1642963369320. Its totient is φ = 649853208576.

The previous prime is 1056101100557. The next prime is 1056101100581. The reversal of 1056101100561 is 1650011016501.

It can be written as a sum of positive squares in 4 ways, for example, as 94652214336 + 961448886225 = 307656^2 + 980535^2 .

It is not a de Polignac number, because 1056101100561 - 2² = 1056101100557 is a prime.

It is a super-2 number, since 2×1056101100561² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056101100511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1023295 + ... + 1777451.

It is an arithmetic number, because the mean of its divisors is an integer number (68456807055).

Almost surely, 2^{1056101100561} is an apocalyptic number.

It is an amenable number.

1056101100561 is a deficient number, since it is larger than the sum of its proper divisors (586862268759).

1056101100561 is a wasteful number, since it uses less digits than its factorization.

1056101100561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766145 (or 766142 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 1056101100561 in words is "one trillion, fifty-six billion, one hundred one million, one hundred thousand, five hundred sixty-one".