10221200093 has 8 divisors (see below), whose sum is σ = 11027216088. Its totient is φ = 9418008384.

The previous prime is 10221200039. The next prime is 10221200107. The reversal of 10221200093 is 39000212201.

10221200093 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 4 ways, for example, as 448295929 + 9772904164 = 21173^2 + 98858^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10221200093 - 2¹⁶ = 10221134557 is a prime.

It is a super-2 number, since 2×10221200093² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221200293) 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 7 ways as a sum of consecutive naturals, for example, 698546 + ... + 713027.

It is an arithmetic number, because the mean of its divisors is an integer number (1378402011).

Almost surely, 2^10221200093 is an apocalyptic number.

10221200093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10221200093 is a deficient number, since it is larger than the sum of its proper divisors (806015995).

10221200093 is a wasteful number, since it uses less digits than its factorization.

10221200093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412143.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10221200093 its reverse (39000212201), we get a palindrome (49221412294).

The spelling of 10221200093 in words is "ten billion, two hundred twenty-one million, two hundred thousand, ninety-three".