110010200212100 has 72 divisors (see below), whose sum is σ = 241762750776960. Its totient is φ = 43443684535680.

The previous prime is 110010200212051. The next prime is 110010200212207. The reversal of 110010200212100 is 1212002010011.

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 23 ways as a sum of consecutive naturals, for example, 102188234 + ... + 103259166.

Almost surely, 2^{110010200212100} is an apocalyptic number.

110010200212100 is a gapful number since it is divisible by the number (10) 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 110010200212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120881375388480).

110010200212100 is an abundant number, since it is smaller than the sum of its proper divisors (131752550564860).

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

110010200212100 is a wasteful number, since it uses less digits than its factorization.

110010200212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084029 (or 1084022 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110010200212100 its reverse (1212002010011), we get a palindrome (111222202222111).

The spelling of 110010200212100 in words is "one hundred ten trillion, ten billion, two hundred million, two hundred twelve thousand, one hundred".