2121200022001 has 2 divisors, whose sum is σ = 2121200022002. Its totient is φ = 2121200022000.

The previous prime is 2121200021989. The next prime is 2121200022017. The reversal of 2121200022001 is 1002200021212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1939267915776 + 181932106225 = 1392576^2 + 426535^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121200022001 - 2²⁵ = 2121166467569 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121200028001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060600011000 + 1060600011001.

It is an arithmetic number, because the mean of its divisors is an integer number (1060600011001).

Almost surely, 2^{2121200022001} is an apocalyptic number.

It is an amenable number.

2121200022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121200022001 is an equidigital number, since it uses as much as digits as its factorization.

2121200022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2121200022001 its reverse (1002200021212), we get a palindrome (3123400043213).

The spelling of 2121200022001 in words is "two trillion, one hundred twenty-one billion, two hundred million, twenty-two thousand, one".