111121200002129 has 2 divisors, whose sum is σ = 111121200002130. Its totient is φ = 111121200002128.

The previous prime is 111121200002107. The next prime is 111121200002143. The reversal of 111121200002129 is 921200002121111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80151696751504 + 30969503250625 = 8952748^2 + 5565025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111121200002129 is a prime.

It is not a weakly prime, because it can be changed into another prime (111121200008129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55560600001064 + 55560600001065.

It is an arithmetic number, because the mean of its divisors is an integer number (55560600001065).

Almost surely, 2^{111121200002129} is an apocalyptic number.

It is an amenable number.

111121200002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111121200002129 is an equidigital number, since it uses as much as digits as its factorization.

111121200002129 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 111121200002129 in words is "one hundred eleven trillion, one hundred twenty-one billion, two hundred million, two thousand, one hundred twenty-nine".