10222022100 has 144 divisors (see below), whose sum is σ = 30208566528. Its totient is φ = 2668124160.

The previous prime is 10222022081. The next prime is 10222022117. The reversal of 10222022100 is 122022201.

10222022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2998597 + ... + 3002003.

It is an arithmetic number, because the mean of its divisors is an integer number (209781712).

Almost surely, 2^10222022100 is an apocalyptic number.

10222022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104283264).

10222022100 is an abundant number, since it is smaller than the sum of its proper divisors (19986544428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10222022100 is a wasteful number, since it uses less digits than its factorization.

10222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10222022100 its reverse (122022201), we get a palindrome (10344044301).

The spelling of 10222022100 in words is "ten billion, two hundred twenty-two million, twenty-two thousand, one hundred".