100221100110 has 96 divisors (see below), whose sum is σ = 276086996640. Its totient is φ = 25136738304.

The previous prime is 100221100081. The next prime is 100221100139. The reversal of 100221100110 is 11001122001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100221100081) and next prime (100221100139).

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 = 100221100092 and 100221100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2355001 + ... + 2397179.

It is an arithmetic number, because the mean of its divisors is an integer number (2875906215).

Almost surely, 2^100221100110 is an apocalyptic number.

100221100110 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 100221100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138043498320).

100221100110 is an abundant number, since it is smaller than the sum of its proper divisors (175865896530).

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

100221100110 is a wasteful number, since it uses less digits than its factorization.

100221100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43762 (or 43759 counting only the distinct ones).

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

Adding to 100221100110 its reverse (11001122001), we get a palindrome (111222222111).

The spelling of 100221100110 in words is "one hundred billion, two hundred twenty-one million, one hundred thousand, one hundred ten".