10201000011049 has 2 divisors, whose sum is σ = 10201000011050. Its totient is φ = 10201000011048.

The previous prime is 10201000011047. The next prime is 10201000011073. The reversal of 10201000011049 is 94011000010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9691746506649 + 509253504400 = 3113157^2 + 713620^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201000011049 - 2¹ = 10201000011047 is a prime.

Together with 10201000011047, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10201000011047) 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, 5100500005524 + 5100500005525.

It is an arithmetic number, because the mean of its divisors is an integer number (5100500005525).

Almost surely, 2^{10201000011049} is an apocalyptic number.

It is an amenable number.

10201000011049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201000011049 is an equidigital number, since it uses as much as digits as its factorization.

10201000011049 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 19.

The spelling of 10201000011049 in words is "ten trillion, two hundred one billion, eleven thousand, forty-nine".