21202222102110 has 768 divisors, whose sum is σ = 67758051778560. Its totient is φ = 4495772160000.

The previous prime is 21202222102027. The next prime is 21202222102111. The reversal of 21202222102110 is 1120122220212.

It is a happy number.

21202222102110 is a `hidden beast` number, since 2 + 1 + 20 + 222 + 210 + 211 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202222102111) 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 383 ways as a sum of consecutive naturals, for example, 39190798440 + ... + 39190798980.

It is an arithmetic number, because the mean of its divisors is an integer number (88226629920).

Almost surely, 2^{21202222102110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202222102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33879025889280).

21202222102110 is an abundant number, since it is smaller than the sum of its proper divisors (46555829676450).

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

21202222102110 is a wasteful number, since it uses less digits than its factorization.

21202222102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21202222102110 its reverse (1120122220212), we get a palindrome (22322344322322).

The spelling of 21202222102110 in words is "twenty-one trillion, two hundred two billion, two hundred twenty-two million, one hundred two thousand, one hundred ten".