101200772583045 has 32 divisors (see below), whose sum is σ = 180698128684800. Its totient is φ = 53738052149952.

The previous prime is 101200772583007. The next prime is 101200772583049. The reversal of 101200772583045 is 540385277002101.

101200772583045 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 0 + 7 + 7 + 2 + 583 + 0 + 45 = 666.

It is not a de Polignac number, because 101200772583045 - 2¹¹ = 101200772580997 is a prime.

It is a super-2 number, since 2×101200772583045² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200772583049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1636727497 + ... + 1636789326.

It is an arithmetic number, because the mean of its divisors is an integer number (5646816521400).

Almost surely, 2^{101200772583045} is an apocalyptic number.

101200772583045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101200772583045 is a deficient number, since it is larger than the sum of its proper divisors (79497356101755).

101200772583045 is a wasteful number, since it uses less digits than its factorization.

101200772583045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273517066 (or 3273517060 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 101200772583045 in words is "one hundred one trillion, two hundred billion, seven hundred seventy-two million, five hundred eighty-three thousand, forty-five".