20338121677001 has 2 divisors, whose sum is σ = 20338121677002. Its totient is φ = 20338121677000.

The previous prime is 20338121676919. The next prime is 20338121677007. The reversal of 20338121677001 is 10077612183302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13390469171401 + 6947652505600 = 3659299^2 + 2635840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20338121677001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20338121677001.

It is not a weakly prime, because it can be changed into another prime (20338121677007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10169060838500 + 10169060838501.

It is an arithmetic number, because the mean of its divisors is an integer number (10169060838501).

Almost surely, 2^{20338121677001} is an apocalyptic number.

It is an amenable number.

20338121677001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20338121677001 is an equidigital number, since it uses as much as digits as its factorization.

20338121677001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 20338121677001 in words is "twenty trillion, three hundred thirty-eight billion, one hundred twenty-one million, six hundred seventy-seven thousand, one".