101110002121993 has 2 divisors, whose sum is σ = 101110002121994. Its totient is φ = 101110002121992.

The previous prime is 101110002121949. The next prime is 101110002122023. The reversal of 101110002121993 is 399121200011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87573511557184 + 13536490564809 = 9358072^2 + 3679197^2 .

It is an emirp because it is prime and its reverse (399121200011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110002121993 - 2²⁵ = 101109968567561 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110002122993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555001060996 + 50555001060997.

It is an arithmetic number, because the mean of its divisors is an integer number (50555001060997).

Almost surely, 2^{101110002121993} is an apocalyptic number.

It is an amenable number.

101110002121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110002121993 is an equidigital number, since it uses as much as digits as its factorization.

101110002121993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 31.

The spelling of 101110002121993 in words is "one hundred one trillion, one hundred ten billion, two million, one hundred twenty-one thousand, nine hundred ninety-three".