1000110101129 has 2 divisors, whose sum is σ = 1000110101130. Its totient is φ = 1000110101128.

The previous prime is 1000110101101. The next prime is 1000110101141. The reversal of 1000110101129 is 9211010110001.

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., 905152446025 + 94957655104 = 951395^2 + 308152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000110101129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000110101329) 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, 500055050564 + 500055050565.

It is an arithmetic number, because the mean of its divisors is an integer number (500055050565).

Almost surely, 2^{1000110101129} is an apocalyptic number.

It is an amenable number.

1000110101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000110101129 is an equidigital number, since it uses as much as digits as its factorization.

1000110101129 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 1000110101129 in words is "one trillion, one hundred ten million, one hundred one thousand, one hundred twenty-nine".