10010010122029 has 2 divisors, whose sum is σ = 10010010122030. Its totient is φ = 10010010122028.

The previous prime is 10010010121963. The next prime is 10010010122069. The reversal of 10010010122029 is 92022101001001.

It is a happy number.

10010010122029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8270254398025 + 1739755724004 = 2875805^2 + 1318998^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010010122029 - 2³⁷ = 9872571168557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010010121997 and 10010010122015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010010122069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005061014 + 5005005061015.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005061015).

Almost surely, 2^{10010010122029} is an apocalyptic number.

It is an amenable number.

10010010122029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010010122029 is an equidigital number, since it uses as much as digits as its factorization.

10010010122029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10010010122029 in words is "ten trillion, ten billion, ten million, one hundred twenty-two thousand, twenty-nine".