2122102002001 has 2 divisors, whose sum is σ = 2122102002002. Its totient is φ = 2122102002000.

The previous prime is 2122102001983. The next prime is 2122102002029. The reversal of 2122102002001 is 1002002012212.

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., 2115861160000 + 6240842001 = 1454600^2 + 78999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122102002001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122102006001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061051001000 + 1061051001001.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051001001).

Almost surely, 2^{2122102002001} is an apocalyptic number.

It is an amenable number.

2122102002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122102002001 is an equidigital number, since it uses as much as digits as its factorization.

2122102002001 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 2122102002001 its reverse (1002002012212), we get a palindrome (3124104014213).

The spelling of 2122102002001 in words is "two trillion, one hundred twenty-two billion, one hundred two million, two thousand, one".