121953687369193 has 2 divisors, whose sum is σ = 121953687369194. Its totient is φ = 121953687369192.

The previous prime is 121953687369187. The next prime is 121953687369337. The reversal of 121953687369193 is 391963786359121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108059185103104 + 13894502266089 = 10395152^2 + 3727533^2 .

It is an emirp because it is prime and its reverse (391963786359121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121953687369193 - 2²⁵ = 121953653814761 is a prime.

It is not a weakly prime, because it can be changed into another prime (121953687369133) 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, 60976843684596 + 60976843684597.

It is an arithmetic number, because the mean of its divisors is an integer number (60976843684597).

Almost surely, 2^{121953687369193} is an apocalyptic number.

It is an amenable number.

121953687369193 is a deficient number, since it is larger than the sum of its proper divisors (1).

121953687369193 is an equidigital number, since it uses as much as digits as its factorization.

121953687369193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 396809280, while the sum is 73.

The spelling of 121953687369193 in words is "one hundred twenty-one trillion, nine hundred fifty-three billion, six hundred eighty-seven million, three hundred sixty-nine thousand, one hundred ninety-three".