121677147690401 has 2 divisors, whose sum is σ = 121677147690402. Its totient is φ = 121677147690400.

The previous prime is 121677147690367. The next prime is 121677147690409. The reversal of 121677147690401 is 104096741776121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100228430302225 + 21448717388176 = 10011415^2 + 4631276^2 .

It is a cyclic number.

It is not a de Polignac number, because 121677147690401 - 2¹⁸ = 121677147428257 is a prime.

It is not a weakly prime, because it can be changed into another prime (121677147690409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60838573845200 + 60838573845201.

It is an arithmetic number, because the mean of its divisors is an integer number (60838573845201).

Almost surely, 2^{121677147690401} is an apocalyptic number.

It is an amenable number.

121677147690401 is a deficient number, since it is larger than the sum of its proper divisors (1).

121677147690401 is an equidigital number, since it uses as much as digits as its factorization.

121677147690401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3556224, while the sum is 56.

The spelling of 121677147690401 in words is "one hundred twenty-one trillion, six hundred seventy-seven billion, one hundred forty-seven million, six hundred ninety thousand, four hundred one".