101166561031 has 4 divisors (see below), whose sum is σ = 101430703872. Its totient is φ = 100902418192.

The previous prime is 101166560939. The next prime is 101166561047. The reversal of 101166561031 is 130165661101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 130165661101 = 7 ⋅18595094443.

It is a cyclic number.

It is not a de Polignac number, because 101166561031 - 2²¹ = 101164463879 is a prime.

It is a super-2 number, since 2×101166561031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101166560984 and 101166561002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101166511031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132070846 + ... + 132071611.

It is an arithmetic number, because the mean of its divisors is an integer number (25357675968).

Almost surely, 2^101166561031 is an apocalyptic number.

101166561031 is a deficient number, since it is larger than the sum of its proper divisors (264142841).

101166561031 is an equidigital number, since it uses as much as digits as its factorization.

101166561031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264142840.

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 101166561031 in words is "one hundred one billion, one hundred sixty-six million, five hundred sixty-one thousand, thirty-one".