100111121211029 has 2 divisors, whose sum is σ = 100111121211030. Its totient is φ = 100111121211028.

The previous prime is 100111121210977. The next prime is 100111121211071. The reversal of 100111121211029 is 920112121111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99315216352804 + 795904858225 = 9965702^2 + 892135^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111121211029 - 2²⁰ = 100111120162453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111121210995 and 100111121211013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111121219029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055560605514 + 50055560605515.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560605515).

Almost surely, 2^{100111121211029} is an apocalyptic number.

It is an amenable number.

100111121211029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111121211029 is an equidigital number, since it uses as much as digits as its factorization.

100111121211029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 100111121211029 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand, twenty-nine".