2000122110121 has 2 divisors, whose sum is σ = 2000122110122. Its totient is φ = 2000122110120.

The previous prime is 2000122110067. The next prime is 2000122110137. The reversal of 2000122110121 is 1210112210002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1585997684496 + 414124425625 = 1259364^2 + 643525^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000122110121 - 2²⁷ = 1999987892393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000122110221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000061055060 + 1000061055061.

It is an arithmetic number, because the mean of its divisors is an integer number (1000061055061).

Almost surely, 2^{2000122110121} is an apocalyptic number.

It is an amenable number.

2000122110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000122110121 is an equidigital number, since it uses as much as digits as its factorization.

2000122110121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2000122110121 its reverse (1210112210002), we get a palindrome (3210234320123).

The spelling of 2000122110121 in words is "two trillion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".