180121357391201 has 2 divisors, whose sum is σ = 180121357391202. Its totient is φ = 180121357391200.

The previous prime is 180121357391153. The next prime is 180121357391303. The reversal of 180121357391201 is 102193753121081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138513503718976 + 41607853672225 = 11769176^2 + 6450415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-180121357391201 is a prime.

It is a super-2 number, since 2×180121357391201² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (180121357394201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90060678695600 + 90060678695601.

It is an arithmetic number, because the mean of its divisors is an integer number (90060678695601).

Almost surely, 2^{180121357391201} is an apocalyptic number.

It is an amenable number.

180121357391201 is a deficient number, since it is larger than the sum of its proper divisors (1).

180121357391201 is an equidigital number, since it uses as much as digits as its factorization.

180121357391201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 44.

The spelling of 180121357391201 in words is "one hundred eighty trillion, one hundred twenty-one billion, three hundred fifty-seven million, three hundred ninety-one thousand, two hundred one".