10223000100000 has 864 divisors, whose sum is σ = 37458278610480. Its totient is φ = 2642595840000.

The previous prime is 10223000099999. The next prime is 10223000100023. The reversal of 10223000100000 is 100032201.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 9689299719696 + 533700380304 = 3112764^2 + 730548^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14418899646 + ... + 14418900354.

Almost surely, 2^{10223000100000} is an apocalyptic number.

10223000100000 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 10223000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729139305240).

10223000100000 is an abundant number, since it is smaller than the sum of its proper divisors (27235278510480).

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

10223000100000 is an equidigital number, since it uses as much as digits as its factorization.

10223000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1189 counting only the distinct ones).

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

Adding to 10223000100000 its reverse (100032201), we get a palindrome (10223100132201).

The spelling of 10223000100000 in words is "ten trillion, two hundred twenty-three billion, one hundred thousand".