10120102003129 has 2 divisors, whose sum is σ = 10120102003130. Its totient is φ = 10120102003128.

The previous prime is 10120102003087. The next prime is 10120102003133. The reversal of 10120102003129 is 92130020102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9400110721600 + 719991281529 = 3065960^2 + 848523^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120102003129 - 2¹¹ = 10120102001081 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120102003159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060051001564 + 5060051001565.

It is an arithmetic number, because the mean of its divisors is an integer number (5060051001565).

Almost surely, 2^{10120102003129} is an apocalyptic number.

It is an amenable number.

10120102003129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120102003129 is an equidigital number, since it uses as much as digits as its factorization.

10120102003129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 10120102003129 in words is "ten trillion, one hundred twenty billion, one hundred two million, three thousand, one hundred twenty-nine".