101122323301001 has 2 divisors, whose sum is σ = 101122323301002. Its totient is φ = 101122323301000.

The previous prime is 101122323300949. The next prime is 101122323301057. The reversal of 101122323301001 is 100103323221101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81061643723776 + 20060679577225 = 9003424^2 + 4478915^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122323301001 - 2³⁰ = 101121249559177 is a prime.

It is a super-3 number, since 3×101122323301001³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101122323301081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561161650500 + 50561161650501.

It is an arithmetic number, because the mean of its divisors is an integer number (50561161650501).

Almost surely, 2^{101122323301001} is an apocalyptic number.

It is an amenable number.

101122323301001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122323301001 is an equidigital number, since it uses as much as digits as its factorization.

101122323301001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101122323301001 its reverse (100103323221101), we get a palindrome (201225646522102).

The spelling of 101122323301001 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred twenty-three million, three hundred one thousand, one".