121122120401 has 2 divisors, whose sum is σ = 121122120402. Its totient is φ = 121122120400.

The previous prime is 121122120397. The next prime is 121122120403. The reversal of 121122120401 is 104021221121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102284832400 + 18837288001 = 319820^2 + 137249^2 .

It is an emirp because it is prime and its reverse (104021221121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121122120401 - 2² = 121122120397 is a prime.

It is a Sophie Germain prime.

Together with 121122120403, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121122120401.

It is not a weakly prime, because it can be changed into another prime (121122120403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561060200 + 60561060201.

It is an arithmetic number, because the mean of its divisors is an integer number (60561060201).

Almost surely, 2^121122120401 is an apocalyptic number.

It is an amenable number.

121122120401 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122120401 is an equidigital number, since it uses as much as digits as its factorization.

121122120401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121122120401 its reverse (104021221121), we get a palindrome (225143341522).

The spelling of 121122120401 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, four hundred one".