10100211201029 has 2 divisors, whose sum is σ = 10100211201030. Its totient is φ = 10100211201028.

The previous prime is 10100211200993. The next prime is 10100211201043. The reversal of 10100211201029 is 92010211200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5743068460900 + 4357142740129 = 2396470^2 + 2087377^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100211201029 - 2⁴⁰ = 9000699573253 is a prime.

It is a super-4 number, since 4×10100211201029⁴ (a number of 53 digits) contains 4444 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 10100211201029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100211201089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050105600514 + 5050105600515.

It is an arithmetic number, because the mean of its divisors is an integer number (5050105600515).

Almost surely, 2^{10100211201029} is an apocalyptic number.

It is an amenable number.

10100211201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100211201029 is an equidigital number, since it uses as much as digits as its factorization.

10100211201029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10100211201029 in words is "ten trillion, one hundred billion, two hundred eleven million, two hundred one thousand, twenty-nine".