97122122122141 has 8 divisors (see below), whose sum is σ = 97146121599800. Its totient is φ = 97098124446720.

The previous prime is 97122122122061. The next prime is 97122122122189. The reversal of 97122122122141 is 14122122122179.

It can be written as a sum of positive squares in 4 ways, for example, as 11569889314116 + 85552232808025 = 3401454^2 + 9249445^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 97122122122141 - 2²⁷ = 97121987904413 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97122122122141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97122122125141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110714671 + ... + 111588451.

It is an arithmetic number, because the mean of its divisors is an integer number (12143265199975).

Almost surely, 2^{97122122122141} is an apocalyptic number.

It is an amenable number.

97122122122141 is a deficient number, since it is larger than the sum of its proper divisors (23999477659).

97122122122141 is a wasteful number, since it uses less digits than its factorization.

97122122122141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901119.

The product of its digits is 16128, while the sum is 37.

The spelling of 97122122122141 in words is "ninety-seven trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred forty-one".