100012120112029 has 2 divisors, whose sum is σ = 100012120112030. Its totient is φ = 100012120112028.

The previous prime is 100012120111993. The next prime is 100012120112131. The reversal of 100012120112029 is 920211021210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94738102222500 + 5274017889529 = 9733350^2 + 2296523^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012120112029 - 2³⁵ = 99977760373661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100012120112329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006060056014 + 50006060056015.

It is an arithmetic number, because the mean of its divisors is an integer number (50006060056015).

Almost surely, 2^{100012120112029} is an apocalyptic number.

It is an amenable number.

100012120112029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012120112029 is an equidigital number, since it uses as much as digits as its factorization.

100012120112029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 100012120112029 in words is "one hundred trillion, twelve billion, one hundred twenty million, one hundred twelve thousand, twenty-nine".