10223300101300 has 144 divisors (see below), whose sum is σ = 26961705590400. Its totient is φ = 3313266163200.

The previous prime is 10223300101243. The next prime is 10223300101307. The reversal of 10223300101300 is 310100332201.

It is a super-2 number, since 2×10223300101300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223300101307) 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 47 ways as a sum of consecutive naturals, for example, 11911440 + ... + 12740839.

It is an arithmetic number, because the mean of its divisors is an integer number (187234066600).

Almost surely, 2^{10223300101300} is an apocalyptic number.

10223300101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223300101300 is an abundant number, since it is smaller than the sum of its proper divisors (16738405489100).

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

10223300101300 is a wasteful number, since it uses less digits than its factorization.

10223300101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24652346 (or 24652339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10223300101300 its reverse (310100332201), we get a palindrome (10533400433501).

The spelling of 10223300101300 in words is "ten trillion, two hundred twenty-three billion, three hundred million, one hundred one thousand, three hundred".