101331112101 has 16 divisors (see below), whose sum is σ = 143063218944. Its totient is φ = 63576958464.

The previous prime is 101331112021. The next prime is 101331112147. The reversal of 101331112101 is 101211133101.

It is not a de Polignac number, because 101331112101 - 2⁹ = 101331111589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331112601) 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 15 ways as a sum of consecutive naturals, for example, 1232265 + ... + 1311921.

It is an arithmetic number, because the mean of its divisors is an integer number (8941451184).

Almost surely, 2^101331112101 is an apocalyptic number.

It is an amenable number.

101331112101 is a deficient number, since it is larger than the sum of its proper divisors (41732106843).

101331112101 is a wasteful number, since it uses less digits than its factorization.

101331112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104620.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101331112101 its reverse (101211133101), we get a palindrome (202542245202).

The spelling of 101331112101 in words is "one hundred one billion, three hundred thirty-one million, one hundred twelve thousand, one hundred one".