100111121208929 has 2 divisors, whose sum is σ = 100111121208930. Its totient is φ = 100111121208928.

The previous prime is 100111121208881. The next prime is 100111121208947. The reversal of 100111121208929 is 929802121111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76363968867904 + 23747152341025 = 8738648^2 + 4873105^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111121208929 - 2¹⁶ = 100111121143393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111121208892 and 100111121208901.

It is not a weakly prime, because it can be changed into another prime (100111121208979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055560604464 + 50055560604465.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560604465).

Almost surely, 2^{100111121208929} is an apocalyptic number.

It is an amenable number.

100111121208929 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111121208929 is an equidigital number, since it uses as much as digits as its factorization.

100111121208929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 38.

The spelling of 100111121208929 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred eight thousand, nine hundred twenty-nine".