2101211222129 has 2 divisors, whose sum is σ = 2101211222130. Its totient is φ = 2101211222128.

The previous prime is 2101211222119. The next prime is 2101211222141. The reversal of 2101211222129 is 9212221121012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1619887471504 + 481323750625 = 1272748^2 + 693775^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101211222129 - 2³⁶ = 2032491745393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101211222098 and 2101211222107.

It is not a weakly prime, because it can be changed into another prime (2101211222119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050605611064 + 1050605611065.

It is an arithmetic number, because the mean of its divisors is an integer number (1050605611065).

Almost surely, 2^{2101211222129} is an apocalyptic number.

It is an amenable number.

2101211222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101211222129 is an equidigital number, since it uses as much as digits as its factorization.

2101211222129 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 2101211222129 in words is "two trillion, one hundred one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty-nine".