110101210210212 has 144 divisors (see below), whose sum is σ = 280086202368000. Its totient is φ = 33646481301888.

The previous prime is 110101210210193. The next prime is 110101210210253. The reversal of 110101210210212 is 212012012101011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110101210210191 and 110101210210200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183398589 + ... + 183997947.

It is an arithmetic number, because the mean of its divisors is an integer number (1945043072000).

Almost surely, 2^{110101210210212} is an apocalyptic number.

110101210210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101210210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140043101184000).

110101210210212 is an abundant number, since it is smaller than the sum of its proper divisors (169984992157788).

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

110101210210212 is a wasteful number, since it uses less digits than its factorization.

110101210210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600010 (or 599995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110101210210212 its reverse (212012012101011), we get a palindrome (322113222311223).

The spelling of 110101210210212 in words is "one hundred ten trillion, one hundred one billion, two hundred ten million, two hundred ten thousand, two hundred twelve".