2122100022121 has 2 divisors, whose sum is σ = 2122100022122. Its totient is φ = 2122100022120.

The previous prime is 2122100022089. The next prime is 2122100022143. The reversal of 2122100022121 is 1212200012212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1826446834521 + 295653187600 = 1351461^2 + 543740^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122100022121 - 2⁵ = 2122100022089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122100022095 and 2122100022104.

It is not a weakly prime, because it can be changed into another prime (2122100020121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050011060 + 1061050011061.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050011061).

Almost surely, 2^{2122100022121} is an apocalyptic number.

It is an amenable number.

2122100022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122100022121 is an equidigital number, since it uses as much as digits as its factorization.

2122100022121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122100022121 its reverse (1212200012212), we get a palindrome (3334300034333).

Subtracting from 2122100022121 its reverse (1212200012212), we obtain a palindrome (909900009909).

The spelling of 2122100022121 in words is "two trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, one hundred twenty-one".