101111000129 has 2 divisors, whose sum is σ = 101111000130. Its totient is φ = 101111000128.

The previous prime is 101111000099. The next prime is 101111000131. The reversal of 101111000129 is 921000111101.

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., 79140942400 + 21970057729 = 281320^2 + 148223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111000129 is a prime.

Together with 101111000131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101111000149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500064 + 50555500065.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500065).

Almost surely, 2^101111000129 is an apocalyptic number.

It is an amenable number.

101111000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111000129 is an equidigital number, since it uses as much as digits as its factorization.

101111000129 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 17.

The spelling of 101111000129 in words is "one hundred one billion, one hundred eleven million, one hundred twenty-nine", and thus it is an aban number.