10131002201029 has 2 divisors, whose sum is σ = 10131002201030. Its totient is φ = 10131002201028.

The previous prime is 10131002200999. The next prime is 10131002201069. The reversal of 10131002201029 is 92010220013101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9369567950625 + 761434250404 = 3060975^2 + 872602^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131002201029 - 2³⁵ = 10096642462661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131002201069) 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, 5065501100514 + 5065501100515.

It is an arithmetic number, because the mean of its divisors is an integer number (5065501100515).

Almost surely, 2^{10131002201029} is an apocalyptic number.

It is an amenable number.

10131002201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131002201029 is an equidigital number, since it uses as much as digits as its factorization.

10131002201029 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 10131002201029 in words is "ten trillion, one hundred thirty-one billion, two million, two hundred one thousand, twenty-nine".