2101120121 has 2 divisors, whose sum is σ = 2101120122. Its totient is φ = 2101120120.

The previous prime is 2101120061. The next prime is 2101120123. The reversal of 2101120121 is 1210211012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1614432400 + 486687721 = 40180^2 + 22061^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101120121 is a prime.

Together with 2101120123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2101120123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050560060 + 1050560061.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560061).

Almost surely, 2^2101120121 is an apocalyptic number.

It is an amenable number.

2101120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101120121 is an equidigital number, since it uses as much as digits as its factorization.

2101120121 is an evil number, because the sum of its binary digits is even.

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

The square root of 2101120121 is about 45837.9768423520. The cubic root of 2101120121 is about 1280.8068076316.

Adding to 2101120121 its reverse (1210211012), we get a palindrome (3311331133).

The spelling of 2101120121 in words is "two billion, one hundred one million, one hundred twenty thousand, one hundred twenty-one".