100110221200 has 90 divisors (see below), whose sum is σ = 264367642322. Its totient is φ = 36403699200.

The previous prime is 100110221177. The next prime is 100110221201. The reversal of 100110221200 is 2122011001.

It can be written as a sum of positive squares in 3 ways, for example, as 19417865104 + 80692356096 = 139348^2 + 284064^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100110221201) 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 17 ways as a sum of consecutive naturals, for example, 985797 + ... + 1082596.

Almost surely, 2^100110221200 is an apocalyptic number.

100110221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110221200 is an abundant number, since it is smaller than the sum of its proper divisors (164257421122).

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

100110221200 is a wasteful number, since it uses less digits than its factorization.

100110221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068433 (or 2068411 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100110221200 its reverse (2122011001), we get a palindrome (102232232201).

It can be divided in two parts, 1001 and 10221200, that added together give a palindrome (10222201).

The spelling of 100110221200 in words is "one hundred billion, one hundred ten million, two hundred twenty-one thousand, two hundred".