100972346281 has 2 divisors, whose sum is σ = 100972346282. Its totient is φ = 100972346280.

The previous prime is 100972346249. The next prime is 100972346287. The reversal of 100972346281 is 182643279001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98006563600 + 2965782681 = 313060^2 + 54459^2 .

It is a cyclic number.

It is not a de Polignac number, because 100972346281 - 2⁵ = 100972346249 is a prime.

It is a super-2 number, since 2×100972346281² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100972346287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50486173140 + 50486173141.

It is an arithmetic number, because the mean of its divisors is an integer number (50486173141).

Almost surely, 2^100972346281 is an apocalyptic number.

It is an amenable number.

100972346281 is a deficient number, since it is larger than the sum of its proper divisors (1).

100972346281 is an equidigital number, since it uses as much as digits as its factorization.

100972346281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 100972346281 in words is "one hundred billion, nine hundred seventy-two million, three hundred forty-six thousand, two hundred eighty-one".