100110101210029 has 2 divisors, whose sum is σ = 100110101210030. Its totient is φ = 100110101210028.

The previous prime is 100110101209999. The next prime is 100110101210039. The reversal of 100110101210029 is 920012101011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81471799025929 + 18638302184100 = 9026173^2 + 4317210^2 .

It is an emirp because it is prime and its reverse (920012101011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100110101210029 - 2⁴³ = 91314008187821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110101209988 and 100110101210015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110101210039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055050605014 + 50055050605015.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050605015).

Almost surely, 2^{100110101210029} is an apocalyptic number.

It is an amenable number.

100110101210029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110101210029 is an equidigital number, since it uses as much as digits as its factorization.

100110101210029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 100110101210029 in words is "one hundred trillion, one hundred ten billion, one hundred one million, two hundred ten thousand, twenty-nine".