2202000011129 has 2 divisors, whose sum is σ = 2202000011130. Its totient is φ = 2202000011128.

The previous prime is 2202000011083. The next prime is 2202000011147. The reversal of 2202000011129 is 9211100002022.

It is a happy number.

2202000011129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2037322313104 + 164677698025 = 1427348^2 + 405805^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202000011129 - 2³⁶ = 2133280534393 is a prime.

It is a super-2 number, since 2×2202000011129² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2202000011129.

It is not a weakly prime, because it can be changed into another prime (2202000211129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101000005564 + 1101000005565.

It is an arithmetic number, because the mean of its divisors is an integer number (1101000005565).

Almost surely, 2^{2202000011129} is an apocalyptic number.

It is an amenable number.

2202000011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202000011129 is an equidigital number, since it uses as much as digits as its factorization.

2202000011129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 2202000011129 in words is "two trillion, two hundred two billion, eleven thousand, one hundred twenty-nine".