2100120122161 has 2 divisors, whose sum is σ = 2100120122162. Its totient is φ = 2100120122160.

The previous prime is 2100120122159. The next prime is 2100120122257. The reversal of 2100120122161 is 1612210210012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1907009093025 + 193111029136 = 1380945^2 + 439444^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100120122161 - 2¹ = 2100120122159 is a prime.

Together with 2100120122159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2100120122461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050060061080 + 1050060061081.

It is an arithmetic number, because the mean of its divisors is an integer number (1050060061081).

Almost surely, 2^{2100120122161} is an apocalyptic number.

It is an amenable number.

2100120122161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100120122161 is an equidigital number, since it uses as much as digits as its factorization.

2100120122161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 2100120122161 its reverse (1612210210012), we get a palindrome (3712330332173).

The spelling of 2100120122161 in words is "two trillion, one hundred billion, one hundred twenty million, one hundred twenty-two thousand, one hundred sixty-one".