2121102112229 has 2 divisors, whose sum is σ = 2121102112230. Its totient is φ = 2121102112228.

The previous prime is 2121102112183. The next prime is 2121102112237. The reversal of 2121102112229 is 9222112011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1750135847329 + 370966264900 = 1322927^2 + 609070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121102112229 is a prime.

It is a super-2 number, since 2×2121102112229² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121102112198 and 2121102112207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121102112249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060551056114 + 1060551056115.

It is an arithmetic number, because the mean of its divisors is an integer number (1060551056115).

Almost surely, 2^{2121102112229} is an apocalyptic number.

It is an amenable number.

2121102112229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121102112229 is an equidigital number, since it uses as much as digits as its factorization.

2121102112229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 2121102112229 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred twelve thousand, two hundred twenty-nine".