10100206385 has 16 divisors (see below), whose sum is σ = 12262395600. Its totient is φ = 7985488896.

The previous prime is 10100206373. The next prime is 10100206411. The reversal of 10100206385 is 58360200101.

It can be written as a sum of positive squares in 8 ways, for example, as 1437623056 + 8662583329 = 37916^2 + 93073^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100206385 - 2¹⁰ = 10100205361 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210247 + ... + 1218563.

It is an arithmetic number, because the mean of its divisors is an integer number (766399725).

Almost surely, 2^10100206385 is an apocalyptic number.

It is an amenable number.

10100206385 is a deficient number, since it is larger than the sum of its proper divisors (2162189215).

10100206385 is an equidigital number, since it uses as much as digits as its factorization.

10100206385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 10100206385 its reverse (58360200101), we get a palindrome (68460406486).

The spelling of 10100206385 in words is "ten billion, one hundred million, two hundred six thousand, three hundred eighty-five".