121122112201193 has 2 divisors, whose sum is σ = 121122112201194. Its totient is φ = 121122112201192.

The previous prime is 121122112201171. The next prime is 121122112201219. The reversal of 121122112201193 is 391102211221121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118334103909904 + 2788008291289 = 10878148^2 + 1669733^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122112201193 - 2⁴⁶ = 50753368023529 is a prime.

It is not a weakly prime, because it can be changed into another prime (121122112201393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561056100596 + 60561056100597.

It is an arithmetic number, because the mean of its divisors is an integer number (60561056100597).

Almost surely, 2^{121122112201193} is an apocalyptic number.

It is an amenable number.

121122112201193 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122112201193 is an equidigital number, since it uses as much as digits as its factorization.

121122112201193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 121122112201193 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred one thousand, one hundred ninety-three".