10095819201 has 12 divisors (see below), whose sum is σ = 15704607828. Its totient is φ = 6212811744.

The previous prime is 10095819191. The next prime is 10095819221. The reversal of 10095819201 is 10291859001.

10095819201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 570254400 + 9525564801 = 23880^2 + 97599^2 .

It is not a de Polignac number, because 10095819201 - 2¹⁰ = 10095818177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10095819221) 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 in 11 ways as a sum of consecutive naturals, for example, 43144410 + ... + 43144643.

It is an arithmetic number, because the mean of its divisors is an integer number (1308717319).

Almost surely, 2^10095819201 is an apocalyptic number.

It is an amenable number.

10095819201 is a deficient number, since it is larger than the sum of its proper divisors (5608788627).

10095819201 is a wasteful number, since it uses less digits than its factorization.

10095819201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86289072 (or 86289069 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 10095819201 in words is "ten billion, ninety-five million, eight hundred nineteen thousand, two hundred one".