211221002010 has 128 divisors (see below), whose sum is σ = 537861003264. Its totient is φ = 52992506880.

The previous prime is 211221001993. The next prime is 211221002039. The reversal of 211221002010 is 10200122112.

It is a super-2 number, since 2×211221002010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78900792 + ... + 78903468.

It is an arithmetic number, because the mean of its divisors is an integer number (4202039088).

Almost surely, 2^211221002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211221002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268930501632).

211221002010 is an abundant number, since it is smaller than the sum of its proper divisors (326640001254).

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

211221002010 is a wasteful number, since it uses less digits than its factorization.

211221002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211221002010 its reverse (10200122112), we get a palindrome (221421124122).

The spelling of 211221002010 in words is "two hundred eleven billion, two hundred twenty-one million, two thousand, ten".