101664532612601 has 24 divisors (see below), whose sum is σ = 121200160783680. Its totient is φ = 84982938741792.

The previous prime is 101664532612583. The next prime is 101664532612619. The reversal of 101664532612601 is 106216235466101.

It is an interprime number because it is at equal distance from previous prime (101664532612583) and next prime (101664532612619).

It is not a de Polignac number, because 101664532612601 - 2¹⁴ = 101664532596217 is a prime.

It is a super-2 number, since 2×101664532612601² (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 (101664532612801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35924906 + ... + 38651363.

It is an arithmetic number, because the mean of its divisors is an integer number (5050006699320).

Almost surely, 2^{101664532612601} is an apocalyptic number.

It is an amenable number.

101664532612601 is a deficient number, since it is larger than the sum of its proper divisors (19535628171079).

101664532612601 is an equidigital number, since it uses as much as digits as its factorization.

101664532612601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74576973 (or 74576966 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 101664532612601 in words is "one hundred one trillion, six hundred sixty-four billion, five hundred thirty-two million, six hundred twelve thousand, six hundred one".