10201020193 has 32 divisors (see below), whose sum is σ = 13114483200. Its totient is φ = 7716957696.

The previous prime is 10201020157. The next prime is 10201020197. The reversal of 10201020193 is 39102010201.

It is a de Polignac number, because none of the positive numbers 2^k-10201020193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10201020193.

It is not an unprimeable number, because it can be changed into a prime (10201020197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253053 + ... + 290581.

It is an arithmetic number, because the mean of its divisors is an integer number (409827600).

Almost surely, 2^10201020193 is an apocalyptic number.

10201020193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10201020193 is a deficient number, since it is larger than the sum of its proper divisors (2913463007).

10201020193 is a wasteful number, since it uses less digits than its factorization.

10201020193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37681.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10201020193 its reverse (39102010201), we get a palindrome (49303030394).

The spelling of 10201020193 in words is "ten billion, two hundred one million, twenty thousand, one hundred ninety-three".