101582116121 has 2 divisors, whose sum is σ = 101582116122. Its totient is φ = 101582116120.

The previous prime is 101582116117. The next prime is 101582116123. The reversal of 101582116121 is 121611285101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75842406025 + 25739710096 = 275395^2 + 160436^2 .

It is a cyclic number.

It is not a de Polignac number, because 101582116121 - 2² = 101582116117 is a prime.

Together with 101582116123, 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 (101582116123) 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, 50791058060 + 50791058061.

It is an arithmetic number, because the mean of its divisors is an integer number (50791058061).

Almost surely, 2^101582116121 is an apocalyptic number.

It is an amenable number.

101582116121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101582116121 is an equidigital number, since it uses as much as digits as its factorization.

101582116121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 29.

The spelling of 101582116121 in words is "one hundred one billion, five hundred eighty-two million, one hundred sixteen thousand, one hundred twenty-one".