21333123102100 has 36 divisors (see below), whose sum is σ = 46350961215804. Its totient is φ = 8522542497280.

The previous prime is 21333123102089. The next prime is 21333123102103. The reversal of 21333123102100 is 120132133312.

It can be written as a sum of positive squares in 6 ways, for example, as 3640112936464 + 17693010165636 = 1907908^2 + 4206306^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21333123102103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133754197 + ... + 133913596.

It is an arithmetic number, because the mean of its divisors is an integer number (1287526700439).

Almost surely, 2^{21333123102100} is an apocalyptic number.

21333123102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21333123102100 is an abundant number, since it is smaller than the sum of its proper divisors (25017838113704).

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

21333123102100 is a wasteful number, since it uses less digits than its factorization.

21333123102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267668604 (or 267668597 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 21333123102100 its reverse (120132133312), we get a palindrome (21453255235412).

The spelling of 21333123102100 in words is "twenty-one trillion, three hundred thirty-three billion, one hundred twenty-three million, one hundred two thousand, one hundred".