1056100100561 has 16 divisors (see below), whose sum is σ = 1212787650240. Its totient is φ = 909529053120.

The previous prime is 1056100100527. The next prime is 1056100100569. The reversal of 1056100100561 is 1650010016501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1056100100561 is a prime.

It is a super-2 number, since 2×1056100100561² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056100100561.

It is not an unprimeable number, because it can be changed into a prime (1056100100569) 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, 7844531 + ... + 7978023.

It is an arithmetic number, because the mean of its divisors is an integer number (75799228140).

Almost surely, 2^{1056100100561} is an apocalyptic number.

1056100100561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1056100100561 is a deficient number, since it is larger than the sum of its proper divisors (156687549679).

1056100100561 is a wasteful number, since it uses less digits than its factorization.

1056100100561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171376.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 1056100100561 in words is "one trillion, fifty-six billion, one hundred million, one hundred thousand, five hundred sixty-one".