101012574505583 has 16 divisors (see below), whose sum is σ = 109101000884736. Its totient is φ = 92969632643040.

The previous prime is 101012574505553. The next prime is 101012574505589. The reversal of 101012574505583 is 385505475210101.

It is a cyclic number.

It is not a de Polignac number, because 101012574505583 - 2²⁰ = 101012573457007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012574505589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106089398 + ... + 107037308.

It is an arithmetic number, because the mean of its divisors is an integer number (6818812555296).

Almost surely, 2^{101012574505583} is an apocalyptic number.

101012574505583 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101012574505583 is a deficient number, since it is larger than the sum of its proper divisors (8088426379153).

101012574505583 is a wasteful number, since it uses less digits than its factorization.

101012574505583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971894.

The product of its (nonzero) digits is 840000, while the sum is 47.

The spelling of 101012574505583 in words is "one hundred one trillion, twelve billion, five hundred seventy-four million, five hundred five thousand, five hundred eighty-three".