121752105121 has 2 divisors, whose sum is σ = 121752105122. Its totient is φ = 121752105120.

The previous prime is 121752105071. The next prime is 121752105131. The reversal of 121752105121 is 121501257121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90929387025 + 30822718096 = 301545^2 + 175564^2 .

It is a cyclic number.

It is not a de Polignac number, because 121752105121 - 2¹⁷ = 121751974049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121752105121.

It is not a weakly prime, because it can be changed into another prime (121752105131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60876052560 + 60876052561.

It is an arithmetic number, because the mean of its divisors is an integer number (60876052561).

Almost surely, 2^121752105121 is an apocalyptic number.

It is an amenable number.

121752105121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121752105121 is an equidigital number, since it uses as much as digits as its factorization.

121752105121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 28.

The spelling of 121752105121 in words is "one hundred twenty-one billion, seven hundred fifty-two million, one hundred five thousand, one hundred twenty-one".