102022221100993 has 2 divisors, whose sum is σ = 102022221100994. Its totient is φ = 102022221100992.

The previous prime is 102022221100963. The next prime is 102022221101051. The reversal of 102022221100993 is 399001122220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99137308659984 + 2884912441009 = 9956772^2 + 1698503^2 .

It is a cyclic number.

It is not a de Polignac number, because 102022221100993 - 2³⁷ = 101884782147521 is a prime.

It is a super-3 number, since 3×102022221100993³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102022221100963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51011110550496 + 51011110550497.

It is an arithmetic number, because the mean of its divisors is an integer number (51011110550497).

Almost surely, 2^{102022221100993} is an apocalyptic number.

It is an amenable number.

102022221100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022221100993 is an equidigital number, since it uses as much as digits as its factorization.

102022221100993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 102022221100993 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, one hundred thousand, nine hundred ninety-three".