72182522101 has 2 divisors, whose sum is σ = 72182522102. Its totient is φ = 72182522100.

The previous prime is 72182522023. The next prime is 72182522141. The reversal of 72182522101 is 10122528127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71476557201 + 705964900 = 267351^2 + 26570^2 .

It is a cyclic number.

It is not a de Polignac number, because 72182522101 - 2²⁵ = 72148967669 is a prime.

It is a super-2 number, since 2×72182522101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72182522141) 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 as a sum of consecutive naturals, namely, 36091261050 + 36091261051.

It is an arithmetic number, because the mean of its divisors is an integer number (36091261051).

Almost surely, 2^72182522101 is an apocalyptic number.

It is an amenable number.

72182522101 is a deficient number, since it is larger than the sum of its proper divisors (1).

72182522101 is an equidigital number, since it uses as much as digits as its factorization.

72182522101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4480, while the sum is 31.

The spelling of 72182522101 in words is "seventy-two billion, one hundred eighty-two million, five hundred twenty-two thousand, one hundred one".