101112011100101 has 16 divisors (see below), whose sum is σ = 103517896627200. Its totient is φ = 98708614003440.

The previous prime is 101112011100071. The next prime is 101112011100103. The reversal of 101112011100101 is 101001110211101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101112011100101 - 2³⁸ = 100837133193157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112011100103) 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, 649746500 + ... + 649902098.

It is an arithmetic number, because the mean of its divisors is an integer number (6469868539200).

Almost surely, 2^{101112011100101} is an apocalyptic number.

It is an amenable number.

101112011100101 is a deficient number, since it is larger than the sum of its proper divisors (2405885527099).

101112011100101 is a wasteful number, since it uses less digits than its factorization.

101112011100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163496.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101112011100101 its reverse (101001110211101), we get a palindrome (202113121311202).

The spelling of 101112011100101 in words is "one hundred one trillion, one hundred twelve billion, eleven million, one hundred thousand, one hundred one".