10201000949 has 2 divisors, whose sum is σ = 10201000950. Its totient is φ = 10201000948.

The previous prime is 10201000919. The next prime is 10201000951. The reversal of 10201000949 is 94900010201.

10201000949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5586516049 + 4614484900 = 74743^2 + 67930^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201000949 - 2²⁴ = 10184223733 is a prime.

It is a super-2 number, since 2×10201000949² (a number of 21 digits) contains 22 as substring.

Together with 10201000951, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201000919) 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, 5100500474 + 5100500475.

It is an arithmetic number, because the mean of its divisors is an integer number (5100500475).

Almost surely, 2^10201000949 is an apocalyptic number.

It is an amenable number.

10201000949 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201000949 is an equidigital number, since it uses as much as digits as its factorization.

10201000949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 10201000949 in words is "ten billion, two hundred one million, nine hundred forty-nine", and thus it is an aban number.