10120120002029 has 2 divisors, whose sum is σ = 10120120002030. Its totient is φ = 10120120002028.

The previous prime is 10120120001993. The next prime is 10120120002077. The reversal of 10120120002029 is 92020002102101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7406687439529 + 2713432562500 = 2721523^2 + 1647250^2 .

It is an emirp because it is prime and its reverse (92020002102101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10120120002029 is a prime.

It is a super-3 number, since 3×10120120002029³ (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10120120002029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120140002029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060060001014 + 5060060001015.

It is an arithmetic number, because the mean of its divisors is an integer number (5060060001015).

Almost surely, 2^{10120120002029} is an apocalyptic number.

It is an amenable number.

10120120002029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120120002029 is an equidigital number, since it uses as much as digits as its factorization.

10120120002029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10120120002029 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, two thousand, twenty-nine".