2102112202121 has 2 divisors, whose sum is σ = 2102112202122. Its totient is φ = 2102112202120.

The previous prime is 2102112202097. The next prime is 2102112202139. The reversal of 2102112202121 is 1212022112012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2064793689721 + 37318512400 = 1436939^2 + 193180^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102112202121 - 2¹⁰ = 2102112201097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102112202121.

It is not a weakly prime, because it can be changed into another prime (2102112202181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051056101060 + 1051056101061.

It is an arithmetic number, because the mean of its divisors is an integer number (1051056101061).

Almost surely, 2^{2102112202121} is an apocalyptic number.

It is an amenable number.

2102112202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102112202121 is an equidigital number, since it uses as much as digits as its factorization.

2102112202121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2102112202121 its reverse (1212022112012), we get a palindrome (3314134314133).

The spelling of 2102112202121 in words is "two trillion, one hundred two billion, one hundred twelve million, two hundred two thousand, one hundred twenty-one".