10233122220300 has 288 divisors, whose sum is σ = 35889075952128. Its totient is φ = 2197656391680.

The previous prime is 10233122220287. The next prime is 10233122220301. The reversal of 10233122220300 is 302222133201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10233122220301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20711742 + ... + 21200058.

It is an arithmetic number, because the mean of its divisors is an integer number (124614847056).

Almost surely, 2^{10233122220300} is an apocalyptic number.

10233122220300 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 10233122220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17944537976064).

10233122220300 is an abundant number, since it is smaller than the sum of its proper divisors (25655953731828).

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

10233122220300 is a wasteful number, since it uses less digits than its factorization.

10233122220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488945 (or 488938 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10233122220300 its reverse (302222133201), we get a palindrome (10535344353501).

The spelling of 10233122220300 in words is "ten trillion, two hundred thirty-three billion, one hundred twenty-two million, two hundred twenty thousand, three hundred".