11112200012129 has 2 divisors, whose sum is σ = 11112200012130. Its totient is φ = 11112200012128.

The previous prime is 11112200012099. The next prime is 11112200012167. The reversal of 11112200012129 is 92121000221111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6134736385600 + 4977463626529 = 2476840^2 + 2231023^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11112200012129 is a prime.

It is a super-2 number, since 2×11112200012129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11112206012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556100006064 + 5556100006065.

It is an arithmetic number, because the mean of its divisors is an integer number (5556100006065).

Almost surely, 2^{11112200012129} is an apocalyptic number.

It is an amenable number.

11112200012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11112200012129 is an equidigital number, since it uses as much as digits as its factorization.

11112200012129 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 23.

The spelling of 11112200012129 in words is "eleven trillion, one hundred twelve billion, two hundred million, twelve thousand, one hundred twenty-nine".