211221221102010 has 384 divisors, whose sum is σ = 664109881344000. Its totient is φ = 45499815922176.

The previous prime is 211221221101997. The next prime is 211221221102039. The reversal of 211221221102010 is 10201122122112.

211221221102010 is a `hidden beast` number, since 2 + 11 + 221 + 221 + 10 + 201 + 0 = 666.

It is a super-2 number, since 2×211221221102010² (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 191 ways as a sum of consecutive naturals, for example, 2812158336 + ... + 2812233444.

It is an arithmetic number, because the mean of its divisors is an integer number (1729452816000).

Almost surely, 2^{211221221102010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211221221102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332054940672000).

211221221102010 is an abundant number, since it is smaller than the sum of its proper divisors (452888660241990).

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

211221221102010 is a wasteful number, since it uses less digits than its factorization.

211221221102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76370 (or 76367 counting only the distinct ones).

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

Adding to 211221221102010 its reverse (10201122122112), we get a palindrome (221422343224122).

The spelling of 211221221102010 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred two thousand, ten".