101110056105511 has 16 divisors (see below), whose sum is σ = 105815190935808. Its totient is φ = 96502680576000.

The previous prime is 101110056105497. The next prime is 101110056105517. The reversal of 101110056105511 is 115501650011101.

It is not a de Polignac number, because 101110056105511 - 2⁹ = 101110056104999 is a prime.

It is a super-2 number, since 2×101110056105511² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101110056105511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110056105517) 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, 62022600 + ... + 63631933.

It is an arithmetic number, because the mean of its divisors is an integer number (6613449433488).

Almost surely, 2^{101110056105511} is an apocalyptic number.

101110056105511 is a deficient number, since it is larger than the sum of its proper divisors (4705134830297).

101110056105511 is a wasteful number, since it uses less digits than its factorization.

101110056105511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125654922.

The product of its (nonzero) digits is 750, while the sum is 28.

The spelling of 101110056105511 in words is "one hundred one trillion, one hundred ten billion, fifty-six million, one hundred five thousand, five hundred eleven".