105101050111011 has 40 divisors (see below), whose sum is σ = 170964940093200. Its totient is φ = 64090658479680.

The previous prime is 105101050111007. The next prime is 105101050111019. The reversal of 105101050111011 is 110111050101501.

105101050111011 is a `hidden beast` number, since 1 + 0 + 51 + 0 + 1 + 0 + 501 + 110 + 1 + 1 = 666.

It is not a de Polignac number, because 105101050111011 - 2² = 105101050111007 is a prime.

It is a super-2 number, since 2×105101050111011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105101050111019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1177399860 + ... + 1177489121.

It is an arithmetic number, because the mean of its divisors is an integer number (4274123502330).

Almost surely, 2^{105101050111011} is an apocalyptic number.

105101050111011 is a deficient number, since it is larger than the sum of its proper divisors (65863889982189).

105101050111011 is a wasteful number, since it uses less digits than its factorization.

105101050111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354889041 (or 2354889032 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 18.

The spelling of 105101050111011 in words is "one hundred five trillion, one hundred one billion, fifty million, one hundred eleven thousand, eleven".