211222221110010 has 768 divisors, whose sum is σ = 667688342630400. Its totient is φ = 45724732416000.

The previous prime is 211222221109993. The next prime is 211222221110111. The reversal of 211222221110010 is 10011122222112.

211222221110010 is a `hidden beast` number, since 211 + 2 + 222 + 211 + 10 + 0 + 10 = 666.

It is a super-2 number, since 2×211222221110010² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14399216956 + ... + 14399231624.

It is an arithmetic number, because the mean of its divisors is an integer number (869385862800).

Almost surely, 2^{211222221110010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222221110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333844171315200).

211222221110010 is an abundant number, since it is smaller than the sum of its proper divisors (456466121520390).

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

211222221110010 is a wasteful number, since it uses less digits than its factorization.

211222221110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15219 (or 15216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211222221110010 its reverse (10011122222112), we get a palindrome (221233343332122).

It can be divided in two parts, 2112222 and 21110010, that added together give a palindrome (23222232).

The spelling of 211222221110010 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred ten thousand, ten".