111000010006129 has 2 divisors, whose sum is σ = 111000010006130. Its totient is φ = 111000010006128.

The previous prime is 111000010006103. The next prime is 111000010006153. The reversal of 111000010006129 is 921600010000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77206448358400 + 33793561647729 = 8786720^2 + 5813223^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000010006129 - 2⁹ = 111000010005617 is a prime.

It is not a weakly prime, because it can be changed into another prime (111000010036129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500005003064 + 55500005003065.

It is an arithmetic number, because the mean of its divisors is an integer number (55500005003065).

Almost surely, 2^{111000010006129} is an apocalyptic number.

It is an amenable number.

111000010006129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000010006129 is an equidigital number, since it uses as much as digits as its factorization.

111000010006129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 111000010006129 in words is "one hundred eleven trillion, ten million, six thousand, one hundred twenty-nine".