21122221313300 has 72 divisors (see below), whose sum is σ = 46348788930360. Its totient is φ = 8354375884800.

The previous prime is 21122221313287. The next prime is 21122221313329. The reversal of 21122221313300 is 331312222112.

It can be written as a sum of positive squares in 12 ways, for example, as 8023294181764 + 13098927131536 = 2832542^2 + 3619244^2 .

It is a super-2 number, since 2×21122221313300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9986930 + ... + 11915670.

Almost surely, 2^{21122221313300} is an apocalyptic number.

21122221313300 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 21122221313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23174394465180).

21122221313300 is an abundant number, since it is smaller than the sum of its proper divisors (25226567617060).

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

21122221313300 is a wasteful number, since it uses less digits than its factorization.

21122221313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929981 (or 1929974 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21122221313300 its reverse (331312222112), we get a palindrome (21453533535412).

The spelling of 21122221313300 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred".