10023323311100 has 144 divisors (see below), whose sum is σ = 24868676802816. Its totient is φ = 3471012864000.

The previous prime is 10023323311063. The next prime is 10023323311109. The reversal of 10023323311100 is 111332332001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023323311109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4870460 + ... + 6615740.

It is an arithmetic number, because the mean of its divisors is an integer number (172699144464).

Almost surely, 2^{10023323311100} is an apocalyptic number.

10023323311100 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 10023323311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12434338401408).

10023323311100 is an abundant number, since it is smaller than the sum of its proper divisors (14845353491716).

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

10023323311100 is a wasteful number, since it uses less digits than its factorization.

10023323311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745556 (or 1745549 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10023323311100 its reverse (111332332001), we get a palindrome (10134655643101).

The spelling of 10023323311100 in words is "ten trillion, twenty-three billion, three hundred twenty-three million, three hundred eleven thousand, one hundred".