111100110011129 has 2 divisors, whose sum is σ = 111100110011130. Its totient is φ = 111100110011128.

The previous prime is 111100110011101. The next prime is 111100110011141. The reversal of 111100110011129 is 921110011001111.

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., 102647292250000 + 8452817761129 = 10131500^2 + 2907373^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100110011129 - 2¹⁶ = 111100109945593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111100110011129.

It is not a weakly prime, because it can be changed into another prime (111100110011179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550055005564 + 55550055005565.

It is an arithmetic number, because the mean of its divisors is an integer number (55550055005565).

Almost surely, 2^{111100110011129} is an apocalyptic number.

It is an amenable number.

111100110011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100110011129 is an equidigital number, since it uses as much as digits as its factorization.

111100110011129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 20.

The spelling of 111100110011129 in words is "one hundred eleven trillion, one hundred billion, one hundred ten million, eleven thousand, one hundred twenty-nine".