21303233312100 has 288 divisors, whose sum is σ = 69378190761600. Its totient is φ = 5015135232000.

The previous prime is 21303233312063. The next prime is 21303233312131. The reversal of 21303233312100 is 121333230312.

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, 8698546 + ... + 10875254.

It is an arithmetic number, because the mean of its divisors is an integer number (240896495700).

Almost surely, 2^{21303233312100} is an apocalyptic number.

21303233312100 is a gapful number since it is divisible by the number (20) 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 21303233312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34689095380800).

21303233312100 is an abundant number, since it is smaller than the sum of its proper divisors (48074957449500).

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

21303233312100 is a wasteful number, since it uses less digits than its factorization.

21303233312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176863 (or 2176856 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21303233312100 its reverse (121333230312), we get a palindrome (21424566542412).

The spelling of 21303233312100 in words is "twenty-one trillion, three hundred three billion, two hundred thirty-three million, three hundred twelve thousand, one hundred".