2100120100121 has 2 divisors, whose sum is σ = 2100120100122. Its totient is φ = 2100120100120.

The previous prime is 2100120100031. The next prime is 2100120100153. The reversal of 2100120100121 is 1210010210012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2090800321600 + 9319778521 = 1445960^2 + 96539^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100120100121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100120120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050060050060 + 1050060050061.

It is an arithmetic number, because the mean of its divisors is an integer number (1050060050061).

Almost surely, 2^{2100120100121} is an apocalyptic number.

It is an amenable number.

2100120100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100120100121 is an equidigital number, since it uses as much as digits as its factorization.

2100120100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2100120100121 its reverse (1210010210012), we get a palindrome (3310130310133).

The spelling of 2100120100121 in words is "two trillion, one hundred billion, one hundred twenty million, one hundred thousand, one hundred twenty-one".