101674251089 has 2 divisors, whose sum is σ = 101674251090. Its totient is φ = 101674251088.

The previous prime is 101674251071. The next prime is 101674251097. The reversal of 101674251089 is 980152476101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101182520464 + 491730625 = 318092^2 + 22175^2 .

It is a cyclic number.

It is not a de Polignac number, because 101674251089 - 2²⁴ = 101657473873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101674251059) 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, 50837125544 + 50837125545.

It is an arithmetic number, because the mean of its divisors is an integer number (50837125545).

Almost surely, 2^101674251089 is an apocalyptic number.

It is an amenable number.

101674251089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101674251089 is an equidigital number, since it uses as much as digits as its factorization.

101674251089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 101674251089 in words is "one hundred one billion, six hundred seventy-four million, two hundred fifty-one thousand, eighty-nine".