2122100211001 has 2 divisors, whose sum is σ = 2122100211002. Its totient is φ = 2122100211000.

The previous prime is 2122100210969. The next prime is 2122100211017. The reversal of 2122100211001 is 1001120012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1781103776400 + 340996434601 = 1334580^2 + 583949^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122100211001 - 2⁵ = 2122100210969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122100211901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050105500 + 1061050105501.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050105501).

Almost surely, 2^{2122100211001} is an apocalyptic number.

It is an amenable number.

2122100211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122100211001 is an equidigital number, since it uses as much as digits as its factorization.

2122100211001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2122100211001 its reverse (1001120012212), we get a palindrome (3123220223213).

The spelling of 2122100211001 in words is "two trillion, one hundred twenty-two billion, one hundred million, two hundred eleven thousand, one".