10223000100 has 216 divisors, whose sum is σ = 33031991720. Its totient is φ = 2642595840.

The previous prime is 10223000087. The next prime is 10223000131. The reversal of 10223000100 is 100032201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4594399524 + 5628600576 = 67782^2 + 75024^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14418546 + ... + 14419254.

Almost surely, 2^10223000100 is an apocalyptic number.

10223000100 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 10223000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515995860).

10223000100 is an abundant number, since it is smaller than the sum of its proper divisors (22808991620).

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

10223000100 is a wasteful number, since it uses less digits than its factorization.

10223000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10223000100 its reverse (100032201), we get a palindrome (10323032301).

The spelling of 10223000100 in words is "ten billion, two hundred twenty-three million, one hundred", and thus it is an aban number.