110102022221993 has 2 divisors, whose sum is σ = 110102022221994. Its totient is φ = 110102022221992.

The previous prime is 110102022221953. The next prime is 110102022222037. The reversal of 110102022221993 is 399122220201011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82318022493184 + 27783999728809 = 9072928^2 + 5271053^2 .

It is a cyclic number.

It is not a de Polignac number, because 110102022221993 - 2¹² = 110102022217897 is a prime.

It is not a weakly prime, because it can be changed into another prime (110102022221923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55051011110996 + 55051011110997.

It is an arithmetic number, because the mean of its divisors is an integer number (55051011110997).

Almost surely, 2^{110102022221993} is an apocalyptic number.

It is an amenable number.

110102022221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110102022221993 is an equidigital number, since it uses as much as digits as its factorization.

110102022221993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 110102022221993 in words is "one hundred ten trillion, one hundred two billion, twenty-two million, two hundred twenty-one thousand, nine hundred ninety-three".