102221011100993 has 2 divisors, whose sum is σ = 102221011100994. Its totient is φ = 102221011100992.

The previous prime is 102221011100963. The next prime is 102221011101037. The reversal of 102221011100993 is 399001110122201.

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., 71743898411329 + 30477112689664 = 8470177^2 + 5520608^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221011100993 - 2¹⁰ = 102221011099969 is a prime.

It is a super-2 number, since 2×102221011100993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102221011100963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110505550496 + 51110505550497.

It is an arithmetic number, because the mean of its divisors is an integer number (51110505550497).

Almost surely, 2^{102221011100993} is an apocalyptic number.

It is an amenable number.

102221011100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221011100993 is an equidigital number, since it uses as much as digits as its factorization.

102221011100993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 102221011100993 in words is "one hundred two trillion, two hundred twenty-one billion, eleven million, one hundred thousand, nine hundred ninety-three".