21122312213310 has 256 divisors, whose sum is σ = 64515904358400. Its totient is φ = 4387438110720.

The previous prime is 21122312213293. The next prime is 21122312213323. The reversal of 21122312213310 is 1331221322112.

It is a super-2 number, since 2×21122312213310² (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 127 ways as a sum of consecutive naturals, for example, 321087142 + ... + 321152918.

It is an arithmetic number, because the mean of its divisors is an integer number (252015251400).

Almost surely, 2^{21122312213310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122312213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32257952179200).

21122312213310 is an abundant number, since it is smaller than the sum of its proper divisors (43393592145090).

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

21122312213310 is a wasteful number, since it uses less digits than its factorization.

21122312213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68656 (or 68642 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21122312213310 its reverse (1331221322112), we get a palindrome (22453533535422).

The spelling of 21122312213310 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred twelve million, two hundred thirteen thousand, three hundred ten".