201101022320993 has 2 divisors, whose sum is σ = 201101022320994. Its totient is φ = 201101022320992.

The previous prime is 201101022320971. The next prime is 201101022321071. The reversal of 201101022320993 is 399023220101102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196663123937569 + 4437898383424 = 14023663^2 + 2106632^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101022320993 - 2²⁴ = 201101005543777 is a prime.

It is not a weakly prime, because it can be changed into another prime (201101022320923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550511160496 + 100550511160497.

It is an arithmetic number, because the mean of its divisors is an integer number (100550511160497).

Almost surely, 2^{201101022320993} is an apocalyptic number.

It is an amenable number.

201101022320993 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101022320993 is an equidigital number, since it uses as much as digits as its factorization.

201101022320993 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 201101022320993 in words is "two hundred one trillion, one hundred one billion, twenty-two million, three hundred twenty thousand, nine hundred ninety-three".