211201022010 has 256 divisors, whose sum is σ = 602670233088. Its totient is φ = 46780416000.

The previous prime is 211201022003. The next prime is 211201022017. The reversal of 211201022010 is 10220102112.

211201022010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211201022003) and next prime (211201022017).

It is not an unprimeable number, because it can be changed into a prime (211201022017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124748724 + ... + 124750416.

It is an arithmetic number, because the mean of its divisors is an integer number (2354180598).

Almost surely, 2^211201022010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211201022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301335116544).

211201022010 is an abundant number, since it is smaller than the sum of its proper divisors (391469211078).

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

211201022010 is a wasteful number, since it uses less digits than its factorization.

211201022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369.

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

Adding to 211201022010 its reverse (10220102112), we get a palindrome (221421124122).

It can be divided in two parts, 21120102 and 2010, that added together give a palindrome (21122112).

The spelling of 211201022010 in words is "two hundred eleven billion, two hundred one million, twenty-two thousand, ten".