101110111106049 has 12 divisors (see below), whose sum is σ = 151084074066900. Its totient is φ = 65082370366944.

The previous prime is 101110111106047. The next prime is 101110111106087. The reversal of 101110111106049 is 940601111011101.

101110111106049 is a `hidden beast` number, since 10 + 11 + 10 + 1 + 11 + 10 + 604 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22603777361649 + 78506333744400 = 4754343^2 + 8860380^2 .

It is not a de Polignac number, because 101110111106049 - 2¹ = 101110111106047 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101110111106047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193697530594 + ... + 193697531115.

It is an arithmetic number, because the mean of its divisors is an integer number (12590339505575).

Almost surely, 2^{101110111106049} is an apocalyptic number.

It is an amenable number.

101110111106049 is a deficient number, since it is larger than the sum of its proper divisors (49973962960851).

101110111106049 is a wasteful number, since it uses less digits than its factorization.

101110111106049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387395061744 (or 387395061741 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 27.

The spelling of 101110111106049 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred six thousand, forty-nine".