121112010100093 has 2 divisors, whose sum is σ = 121112010100094. Its totient is φ = 121112010100092.

The previous prime is 121112010100051. The next prime is 121112010100117. The reversal of 121112010100093 is 390001010211121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120395273460484 + 716736639609 = 10972478^2 + 846603^2 .

It is a cyclic number.

It is not a de Polignac number, because 121112010100093 - 2²⁹ = 121111473229181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121112010100033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60556005050046 + 60556005050047.

It is an arithmetic number, because the mean of its divisors is an integer number (60556005050047).

Almost surely, 2^{121112010100093} is an apocalyptic number.

It is an amenable number.

121112010100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

121112010100093 is an equidigital number, since it uses as much as digits as its factorization.

121112010100093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 121112010100093 in words is "one hundred twenty-one trillion, one hundred twelve billion, ten million, one hundred thousand, ninety-three".