110120100210 has 80 divisors (see below), whose sum is σ = 296487437400. Its totient is φ = 29327007744.

The previous prime is 110120100199. The next prime is 110120100221. The reversal of 110120100210 is 12001021011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110120100199) and next prime (110120100221).

It can be written as a sum of positive squares in 4 ways, for example, as 62992466289 + 47127633921 = 250983^2 + 217089^2 .

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 = 110120100192 and 110120100201.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 534496 + ... + 711284.

Almost surely, 2^110120100210 is an apocalyptic number.

110120100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110120100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148243718700).

110120100210 is an abundant number, since it is smaller than the sum of its proper divisors (186367337190).

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

110120100210 is a wasteful number, since it uses less digits than its factorization.

110120100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177577 (or 177568 counting only the distinct ones).

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

Adding to 110120100210 its reverse (12001021011), we get a palindrome (122121121221).

The spelling of 110120100210 in words is "one hundred ten billion, one hundred twenty million, one hundred thousand, two hundred ten".