101323322122021 has 2 divisors, whose sum is σ = 101323322122022. Its totient is φ = 101323322122020.

The previous prime is 101323322122019. The next prime is 101323322122051. The reversal of 101323322122021 is 120221223323101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69564123741121 + 31759198380900 = 8340511^2 + 5635530^2 .

It is a cyclic number.

It is not a de Polignac number, because 101323322122021 - 2¹ = 101323322122019 is a prime.

Together with 101323322122019, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101323322122051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661661061010 + 50661661061011.

It is an arithmetic number, because the mean of its divisors is an integer number (50661661061011).

Almost surely, 2^{101323322122021} is an apocalyptic number.

It is an amenable number.

101323322122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101323322122021 is an equidigital number, since it uses as much as digits as its factorization.

101323322122021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101323322122021 its reverse (120221223323101), we get a palindrome (221544545445122).

The spelling of 101323322122021 in words is "one hundred one trillion, three hundred twenty-three billion, three hundred twenty-two million, one hundred twenty-two thousand, twenty-one".