2210131322081 has 2 divisors, whose sum is σ = 2210131322082. Its totient is φ = 2210131322080.

The previous prime is 2210131321969. The next prime is 2210131322143. The reversal of 2210131322081 is 1802231310122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2036925529681 + 173205792400 = 1427209^2 + 416180^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210131322081 - 2²² = 2210127127777 is a prime.

It is a super-2 number, since 2×2210131322081² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2210131322081.

It is not a weakly prime, because it can be changed into another prime (2210131322381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105065661040 + 1105065661041.

It is an arithmetic number, because the mean of its divisors is an integer number (1105065661041).

Almost surely, 2^{2210131322081} is an apocalyptic number.

It is an amenable number.

2210131322081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210131322081 is an equidigital number, since it uses as much as digits as its factorization.

2210131322081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 2210131322081 in words is "two trillion, two hundred ten billion, one hundred thirty-one million, three hundred twenty-two thousand, eighty-one".