101020112113331 has 16 divisors (see below), whose sum is σ = 105257092723200. Its totient is φ = 96835373308800.

The previous prime is 101020112113289. The next prime is 101020112113399. The reversal of 101020112113331 is 133311211020101.

It is a cyclic number.

It is not a de Polignac number, because 101020112113331 - 2³⁸ = 100745234206387 is a prime.

It is a super-2 number, since 2×101020112113331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101020112112331) 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, 15096140 + ... + 20734841.

It is an arithmetic number, because the mean of its divisors is an integer number (6578568295200).

Almost surely, 2^{101020112113331} is an apocalyptic number.

101020112113331 is a deficient number, since it is larger than the sum of its proper divisors (4236980609869).

101020112113331 is a wasteful number, since it uses less digits than its factorization.

101020112113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35831710.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101020112113331 its reverse (133311211020101), we get a palindrome (234331323133432).

The spelling of 101020112113331 in words is "one hundred one trillion, twenty billion, one hundred twelve million, one hundred thirteen thousand, three hundred thirty-one".