101725972331 has 2 divisors, whose sum is σ = 101725972332. Its totient is φ = 101725972330.

The previous prime is 101725972307. The next prime is 101725972333. The reversal of 101725972331 is 133279527101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101725972331 - 2⁶ = 101725972267 is a prime.

It is a super-2 number, since 2×101725972331² (a number of 23 digits) contains 22 as substring.

Together with 101725972333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101725972333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50862986165 + 50862986166.

It is an arithmetic number, because the mean of its divisors is an integer number (50862986166).

Almost surely, 2^101725972331 is an apocalyptic number.

101725972331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101725972331 is an equidigital number, since it uses as much as digits as its factorization.

101725972331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 79380, while the sum is 41.

The spelling of 101725972331 in words is "one hundred one billion, seven hundred twenty-five million, nine hundred seventy-two thousand, three hundred thirty-one".