1009192010201 has 24 divisors (see below), whose sum is σ = 1066965742920. Its totient is φ = 954372672000.

The previous prime is 1009192010149. The next prime is 1009192010207. The reversal of 1009192010201 is 1020102919001.

It can be written as a sum of positive squares in 4 ways, for example, as 45213643225 + 963978366976 = 212635^2 + 981824^2 .

It is not a de Polignac number, because 1009192010201 - 2¹⁸ = 1009191748057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009192010207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37867841 + ... + 37894481.

It is an arithmetic number, because the mean of its divisors is an integer number (44456905955).

Almost surely, 2^{1009192010201} is an apocalyptic number.

It is an amenable number.

1009192010201 is a deficient number, since it is larger than the sum of its proper divisors (57773732719).

1009192010201 is a wasteful number, since it uses less digits than its factorization.

1009192010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27497 (or 27474 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 26.

Adding to 1009192010201 its reverse (1020102919001), we get a palindrome (2029294929202).

The spelling of 1009192010201 in words is "one trillion, nine billion, one hundred ninety-two million, ten thousand, two hundred one".