110002010111993 has 2 divisors, whose sum is σ = 110002010111994. Its totient is φ = 110002010111992.

The previous prime is 110002010111971. The next prime is 110002010112019. The reversal of 110002010111993 is 399111010200011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108075318981184 + 1926691130809 = 10395928^2 + 1388053^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110002010111993 is a prime.

It is not a weakly prime, because it can be changed into another prime (110002010171993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55001005055996 + 55001005055997.

It is an arithmetic number, because the mean of its divisors is an integer number (55001005055997).

Almost surely, 2^{110002010111993} is an apocalyptic number.

It is an amenable number.

110002010111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110002010111993 is an equidigital number, since it uses as much as digits as its factorization.

110002010111993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 29.

The spelling of 110002010111993 in words is "one hundred ten trillion, two billion, ten million, one hundred eleven thousand, nine hundred ninety-three".