100111100111129 has 2 divisors, whose sum is σ = 100111100111130. Its totient is φ = 100111100111128.

The previous prime is 100111100111111. The next prime is 100111100111147. The reversal of 100111100111129 is 921111001111001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (100111100111111) and next prime (100111100111147).

It can be written as a sum of positive squares in only one way, i.e., 96914967811600 + 3196132299529 = 9844540^2 + 1787773^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111100111129 - 2⁴⁴ = 82518914066713 is a prime.

It is a super-2 number, since 2×100111100111129² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100111100111129.

It is not a weakly prime, because it can be changed into another prime (100111100111159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550055564 + 50055550055565.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550055565).

Almost surely, 2^{100111100111129} is an apocalyptic number.

It is an amenable number.

100111100111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111100111129 is an equidigital number, since it uses as much as digits as its factorization.

100111100111129 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 100111100111129 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred twenty-nine".