101646880012031 has 16 divisors (see below), whose sum is σ = 103143026688000. Its totient is φ = 100163386306368.

The previous prime is 101646880012009. The next prime is 101646880012049. The reversal of 101646880012031 is 130210088646101.

It is a cyclic number.

It is not a de Polignac number, because 101646880012031 - 2¹⁸ = 101646879749887 is a prime.

It is a super-2 number, since 2×101646880012031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101646880012031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101646880012061) 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, 10846106 + ... + 17914568.

It is an arithmetic number, because the mean of its divisors is an integer number (6446439168000).

Almost surely, 2^{101646880012031} is an apocalyptic number.

101646880012031 is a deficient number, since it is larger than the sum of its proper divisors (1496146675969).

101646880012031 is a wasteful number, since it uses less digits than its factorization.

101646880012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069358.

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 101646880012031 in words is "one hundred one trillion, six hundred forty-six billion, eight hundred eighty million, twelve thousand, thirty-one".