10223323034100 has 288 divisors, whose sum is σ = 32411845509120. Its totient is φ = 2467386048000.

The previous prime is 10223323034083. The next prime is 10223323034131. The reversal of 10223323034100 is 143032332201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1943225470 + ... + 1943230730.

It is an arithmetic number, because the mean of its divisors is an integer number (112541130240).

Almost surely, 2^{10223323034100} is an apocalyptic number.

10223323034100 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 10223323034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16205922754560).

10223323034100 is an abundant number, since it is smaller than the sum of its proper divisors (22188522475020).

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

10223323034100 is a wasteful number, since it uses less digits than its factorization.

10223323034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10223323034100 its reverse (143032332201), we get a palindrome (10366355366301).

The spelling of 10223323034100 in words is "ten trillion, two hundred twenty-three billion, three hundred twenty-three million, thirty-four thousand, one hundred".