100110021228 has 144 divisors (see below), whose sum is σ = 300344378880. Its totient is φ = 28601446032.

The previous prime is 100110021227. The next prime is 100110021233. The reversal of 100110021228 is 822120011001.

It is a super-2 number, since 2×100110021228² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100110021228.

It is not an unprimeable number, because it can be changed into a prime (100110021227) 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 47 ways as a sum of consecutive naturals, for example, 4950025 + ... + 4970207.

Almost surely, 2^100110021228 is an apocalyptic number.

100110021228 is a gapful number since it is divisible by the number (18) 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 100110021228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150172189440).

100110021228 is an abundant number, since it is smaller than the sum of its proper divisors (200234357652).

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

100110021228 is an frugal number, since it uses more digits than its factorization.

100110021228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20227 (or 20195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100110021228 its reverse (822120011001), we get a palindrome (922230032229).

The spelling of 100110021228 in words is "one hundred billion, one hundred ten million, twenty-one thousand, two hundred twenty-eight".