121153817 has 2 divisors, whose sum is σ = 121153818. Its totient is φ = 121153816.

The previous prime is 121153771. The next prime is 121153819. The reversal of 121153817 is 718351121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83466496 + 37687321 = 9136^2 + 6139^2 .

It is a cyclic number.

It is not a de Polignac number, because 121153817 - 2¹⁴ = 121137433 is a prime.

Together with 121153819, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_6903614 and since 121153817 and 6903614 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121153817.

It is not a weakly prime, because it can be changed into another prime (121153819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60576908 + 60576909.

It is an arithmetic number, because the mean of its divisors is an integer number (60576909).

Almost surely, 2^121153817 is an apocalyptic number.

It is an amenable number.

121153817 is a deficient number, since it is larger than the sum of its proper divisors (1).

121153817 is an equidigital number, since it uses as much as digits as its factorization.

121153817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 29.

The square root of 121153817 is about 11006.9894612469. The cubic root of 121153817 is about 494.8182402430.

The spelling of 121153817 in words is "one hundred twenty-one million, one hundred fifty-three thousand, eight hundred seventeen".