121567536001 has 2 divisors, whose sum is σ = 121567536002. Its totient is φ = 121567536000.

The previous prime is 121567535987. The next prime is 121567536023. The reversal of 121567536001 is 100635765121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121521960000 + 45576001 = 348600^2 + 6751^2 .

It is an emirp because it is prime and its reverse (100635765121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121567536001 - 2²⁹ = 121030665089 is a prime.

It is not a weakly prime, because it can be changed into another prime (121567536031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60783768000 + 60783768001.

It is an arithmetic number, because the mean of its divisors is an integer number (60783768001).

Almost surely, 2^121567536001 is an apocalyptic number.

It is an amenable number.

121567536001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121567536001 is an equidigital number, since it uses as much as digits as its factorization.

121567536001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 121567536001 in words is "one hundred twenty-one billion, five hundred sixty-seven million, five hundred thirty-six thousand, one".