101122322993 has 2 divisors, whose sum is σ = 101122322994. Its totient is φ = 101122322992.

The previous prime is 101122322981. The next prime is 101122323017. The reversal of 101122322993 is 399223221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99819979249 + 1302343744 = 315943^2 + 36088^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122322993 - 2¹⁸ = 101122060849 is a prime.

It is not a weakly prime, because it can be changed into another prime (101122322923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561161496 + 50561161497.

It is an arithmetic number, because the mean of its divisors is an integer number (50561161497).

Almost surely, 2^101122322993 is an apocalyptic number.

It is an amenable number.

101122322993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122322993 is an equidigital number, since it uses as much as digits as its factorization.

101122322993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 101122322993 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty-two thousand, nine hundred ninety-three".