2211201112129 has 2 divisors, whose sum is σ = 2211201112130. Its totient is φ = 2211201112128.

The previous prime is 2211201112073. The next prime is 2211201112151. The reversal of 2211201112129 is 9212111021122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2183227880625 + 27973231504 = 1477575^2 + 167252^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211201112129 - 2³³ = 2202611177537 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211201118129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105600556064 + 1105600556065.

It is an arithmetic number, because the mean of its divisors is an integer number (1105600556065).

Almost surely, 2^{2211201112129} is an apocalyptic number.

It is an amenable number.

2211201112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211201112129 is an equidigital number, since it uses as much as digits as its factorization.

2211201112129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 2211201112129 in words is "two trillion, two hundred eleven billion, two hundred one million, one hundred twelve thousand, one hundred twenty-nine".