121747770144001 has 2 divisors, whose sum is σ = 121747770144002. Its totient is φ = 121747770144000.

The previous prime is 121747770143929. The next prime is 121747770144017. The reversal of 121747770144001 is 100441077747121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117971747790400 + 3776022353601 = 10861480^2 + 1943199^2 .

It is an emirp because it is prime and its reverse (100441077747121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121747770144001 - 2⁷ = 121747770143873 is a prime.

It is not a weakly prime, because it can be changed into another prime (121747770144061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60873885072000 + 60873885072001.

It is an arithmetic number, because the mean of its divisors is an integer number (60873885072001).

Almost surely, 2^{121747770144001} is an apocalyptic number.

It is an amenable number.

121747770144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121747770144001 is an equidigital number, since it uses as much as digits as its factorization.

121747770144001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 307328, while the sum is 46.

The spelling of 121747770144001 in words is "one hundred twenty-one trillion, seven hundred forty-seven billion, seven hundred seventy million, one hundred forty-four thousand, one".