1056111106101 has 24 divisors (see below), whose sum is σ = 1432712962080. Its totient is φ = 691998865824.

The previous prime is 1056111106073. The next prime is 1056111106111. The reversal of 1056111106101 is 1016011116501.

It is not a de Polignac number, because 1056111106101 - 2¹⁵ = 1056111073333 is a prime.

It is a super-2 number, since 2×1056111106101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056111106111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82315755 + ... + 82328583.

It is an arithmetic number, because the mean of its divisors is an integer number (59696373420).

Almost surely, 2^{1056111106101} is an apocalyptic number.

It is an amenable number.

1056111106101 is a deficient number, since it is larger than the sum of its proper divisors (376601855979).

1056111106101 is an equidigital number, since it uses as much as digits as its factorization.

1056111106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20833 (or 20774 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 24.

The spelling of 1056111106101 in words is "one trillion, fifty-six billion, one hundred eleven million, one hundred six thousand, one hundred one".