10022100093 has 6 divisors (see below), whose sum is σ = 14476366814. Its totient is φ = 6681400056.

The previous prime is 10022100091. The next prime is 10022100173. The reversal of 10022100093 is 39000122001.

It is a happy number.

10022100093 is digitally balanced in base 3, 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 only one way, i.e., 7295380569 + 2726719524 = 85413^2 + 52218^2 .

It is not a de Polignac number, because 10022100093 - 2¹ = 10022100091 is a prime.

It is a super-2 number, since 2×10022100093² (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 (10022100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556783330 + ... + 556783347.

Almost surely, 2^10022100093 is an apocalyptic number.

It is an amenable number.

10022100093 is a deficient number, since it is larger than the sum of its proper divisors (4454266721).

10022100093 is a wasteful number, since it uses less digits than its factorization.

10022100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113566683 (or 1113566680 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10022100093 its reverse (39000122001), we get a palindrome (49022222094).

The spelling of 10022100093 in words is "ten billion, twenty-two million, one hundred thousand, ninety-three".