121072757681 has 2 divisors, whose sum is σ = 121072757682. Its totient is φ = 121072757680.

The previous prime is 121072757653. The next prime is 121072757683. The reversal of 121072757681 is 186757270121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120669390625 + 403367056 = 347375^2 + 20084^2 .

It is an emirp because it is prime and its reverse (186757270121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121072757681 - 2¹⁴ = 121072741297 is a prime.

It is a super-2 number, since 2×121072757681² (a number of 23 digits) contains 22 as substring.

Together with 121072757683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (121072757683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60536378840 + 60536378841.

It is an arithmetic number, because the mean of its divisors is an integer number (60536378841).

Almost surely, 2^121072757681 is an apocalyptic number.

It is an amenable number.

121072757681 is a deficient number, since it is larger than the sum of its proper divisors (1).

121072757681 is an equidigital number, since it uses as much as digits as its factorization.

121072757681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 329280, while the sum is 47.

The spelling of 121072757681 in words is "one hundred twenty-one billion, seventy-two million, seven hundred fifty-seven thousand, six hundred eighty-one".