101112013031011 has 16 divisors (see below), whose sum is σ = 109309319020800. Its totient is φ = 93234418956000.

The previous prime is 101112013031009. The next prime is 101112013031077. The reversal of 101112013031011 is 110130310211101.

It is a cyclic number.

It is not a de Polignac number, because 101112013031011 - 2¹ = 101112013031009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112013031311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446411775 + ... + 446638216.

It is an arithmetic number, because the mean of its divisors is an integer number (6831832438800).

Almost surely, 2^{101112013031011} is an apocalyptic number.

101112013031011 is a deficient number, since it is larger than the sum of its proper divisors (8197305989789).

101112013031011 is a wasteful number, since it uses less digits than its factorization.

101112013031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893050170.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 101112013031011 its reverse (110130310211101), we get a palindrome (211242323242112).

The spelling of 101112013031011 in words is "one hundred one trillion, one hundred twelve billion, thirteen million, thirty-one thousand, eleven".