102201320993 has 2 divisors, whose sum is σ = 102201320994. Its totient is φ = 102201320992.

The previous prime is 102201320989. The next prime is 102201321029. The reversal of 102201320993 is 399023102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79889326609 + 22311994384 = 282647^2 + 149372^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201320993 - 2² = 102201320989 is a prime.

It is a super-2 number, since 2×102201320993² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102201320693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100660496 + 51100660497.

It is an arithmetic number, because the mean of its divisors is an integer number (51100660497).

Almost surely, 2^102201320993 is an apocalyptic number.

It is an amenable number.

102201320993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201320993 is an equidigital number, since it uses as much as digits as its factorization.

102201320993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 102201320993 in words is "one hundred two billion, two hundred one million, three hundred twenty thousand, nine hundred ninety-three".