212010100110 has 128 divisors (see below), whose sum is σ = 571708368000. Its totient is φ = 55903343616.

The previous prime is 212010100067. The next prime is 212010100117. The reversal of 212010100110 is 11001010212.

It is a happy number.

212010100110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212010100092 and 212010100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010100117) 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 63 ways as a sum of consecutive naturals, for example, 14972794 + ... + 14986946.

It is an arithmetic number, because the mean of its divisors is an integer number (4466471625).

Almost surely, 2^212010100110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285854184000).

212010100110 is an abundant number, since it is smaller than the sum of its proper divisors (359698267890).

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

212010100110 is a wasteful number, since it uses less digits than its factorization.

212010100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14787 (or 14781 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212010100110 its reverse (11001010212), we get a palindrome (223011110322).

The spelling of 212010100110 in words is "two hundred twelve billion, ten million, one hundred thousand, one hundred ten".