21330312202122 has 192 divisors, whose sum is σ = 56689761558528. Its totient is φ = 5196772080000.

The previous prime is 21330312202079. The next prime is 21330312202127. The reversal of 21330312202122 is 22120221303312.

It is a junction number, because it is equal to n+sod(n) for n = 21330312202092 and 21330312202101.

It is not an unprimeable number, because it can be changed into a prime (21330312202127) 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 95 ways as a sum of consecutive naturals, for example, 16211847 + ... + 17478117.

It is an arithmetic number, because the mean of its divisors is an integer number (295259174784).

Almost surely, 2^{21330312202122} is an apocalyptic number.

21330312202122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330312202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28344880779264).

21330312202122 is an abundant number, since it is smaller than the sum of its proper divisors (35359449356406).

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

21330312202122 is a wasteful number, since it uses less digits than its factorization.

21330312202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266433 (or 1266414 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21330312202122 its reverse (22120221303312), we get a palindrome (43450533505434).

The spelling of 21330312202122 in words is "twenty-one trillion, three hundred thirty billion, three hundred twelve million, two hundred two thousand, one hundred twenty-two".