101105601111 has 32 divisors (see below), whose sum is σ = 153488932800. Its totient is φ = 65738511360.

The previous prime is 101105601097. The next prime is 101105601133. The reversal of 101105601111 is 111106501101.

It is a happy number.

101105601111 is a `hidden beast` number, since 101 + 1 + 0 + 560 + 1 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 101105601111 - 2⁹ = 101105600599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105601211) 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 31 ways as a sum of consecutive naturals, for example, 3880335 + ... + 3906303.

It is an arithmetic number, because the mean of its divisors is an integer number (4796529150).

Almost surely, 2^101105601111 is an apocalyptic number.

101105601111 is a deficient number, since it is larger than the sum of its proper divisors (52383331689).

101105601111 is a wasteful number, since it uses less digits than its factorization.

101105601111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29536 (or 29530 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 101105601111 in words is "one hundred one billion, one hundred five million, six hundred one thousand, one hundred eleven".