100072532201 has 8 divisors (see below), whose sum is σ = 105428726400. Its totient is φ = 94725259920.

The previous prime is 100072532191. The next prime is 100072532207. The reversal of 100072532201 is 102235270001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100072532201 is a prime.

It is a super-2 number, since 2×100072532201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100072532207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2207441 + ... + 2252318.

It is an arithmetic number, because the mean of its divisors is an integer number (13178590800).

Almost surely, 2^100072532201 is an apocalyptic number.

It is an amenable number.

100072532201 is a deficient number, since it is larger than the sum of its proper divisors (5356194199).

100072532201 is a wasteful number, since it uses less digits than its factorization.

100072532201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460959.

The product of its (nonzero) digits is 840, while the sum is 23.

The spelling of 100072532201 in words is "one hundred billion, seventy-two million, five hundred thirty-two thousand, two hundred one".