211210110110010 has 256 divisors, whose sum is σ = 569113355847168. Its totient is φ = 49728946176000.

The previous prime is 211210110109991. The next prime is 211210110110011. The reversal of 211210110110010 is 10011011012112.

It is a super-2 number, since 2×211210110110010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211210110110011) 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, 12324792162 + ... + 12324809298.

It is an arithmetic number, because the mean of its divisors is an integer number (2223099046278).

Almost surely, 2^{211210110110010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211210110110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284556677923584).

211210110110010 is an abundant number, since it is smaller than the sum of its proper divisors (357903245737158).

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

211210110110010 is a wasteful number, since it uses less digits than its factorization.

211210110110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24289.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211210110110010 its reverse (10011011012112), we get a palindrome (221221121122122).

The spelling of 211210110110010 in words is "two hundred eleven trillion, two hundred ten billion, one hundred ten million, one hundred ten thousand, ten".