10021100193 has 32 divisors (see below), whose sum is σ = 15996337280. Its totient is φ = 6163646400.

The previous prime is 10021100179. The next prime is 10021100237. The reversal of 10021100193 is 39100112001.

10021100193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021100193 - 2²² = 10016905889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021100123) 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 31 ways as a sum of consecutive naturals, for example, 798618 + ... + 811068.

It is an arithmetic number, because the mean of its divisors is an integer number (499885540).

Almost surely, 2^10021100193 is an apocalyptic number.

10021100193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10021100193 is a deficient number, since it is larger than the sum of its proper divisors (5975237087).

10021100193 is a wasteful number, since it uses less digits than its factorization.

10021100193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14766 (or 14760 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10021100193 its reverse (39100112001), we get a palindrome (49121212194).

The spelling of 10021100193 in words is "ten billion, twenty-one million, one hundred thousand, one hundred ninety-three".