101110556000407 has 2 divisors, whose sum is σ = 101110556000408. Its totient is φ = 101110556000406.

The previous prime is 101110556000383. The next prime is 101110556000471. The reversal of 101110556000407 is 704000655011101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101110556000407 - 2³⁹ = 100560800186519 is a prime.

It is a super-2 number, since 2×101110556000407² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110556000497) 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 as a sum of consecutive naturals, namely, 50555278000203 + 50555278000204.

It is an arithmetic number, because the mean of its divisors is an integer number (50555278000204).

Almost surely, 2^{101110556000407} is an apocalyptic number.

101110556000407 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110556000407 is an equidigital number, since it uses as much as digits as its factorization.

101110556000407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 31.

The spelling of 101110556000407 in words is "one hundred one trillion, one hundred ten billion, five hundred fifty-six million, four hundred seven", and thus it is an aban number.