101000111129 has 2 divisors, whose sum is σ = 101000111130. Its totient is φ = 101000111128.

The previous prime is 101000111087. The next prime is 101000111143. The reversal of 101000111129 is 921111000101.

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., 93492235225 + 7507875904 = 305765^2 + 86648^2 .

It is an emirp because it is prime and its reverse (921111000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000111129 - 2²⁸ = 100731675673 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000111159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500055564 + 50500055565.

It is an arithmetic number, because the mean of its divisors is an integer number (50500055565).

Almost surely, 2^101000111129 is an apocalyptic number.

It is an amenable number.

101000111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000111129 is an equidigital number, since it uses as much as digits as its factorization.

101000111129 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 101000111129 in words is "one hundred one billion, one hundred eleven thousand, one hundred twenty-nine".