100222244100 has 432 divisors, whose sum is σ = 353341759680. Its totient is φ = 23547110400.

The previous prime is 100222244093. The next prime is 100222244123. The reversal of 100222244100 is 1442222001.

100222244100 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 222 + 441 + 0 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 153479374 + ... + 153480026.

It is an arithmetic number, because the mean of its divisors is an integer number (817920740).

Almost surely, 2^100222244100 is an apocalyptic number.

100222244100 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 100222244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176670879840).

100222244100 is an abundant number, since it is smaller than the sum of its proper divisors (253119515580).

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

100222244100 is a wasteful number, since it uses less digits than its factorization.

100222244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100222244100 its reverse (1442222001), we get a palindrome (101664466101).

The spelling of 100222244100 in words is "one hundred billion, two hundred twenty-two million, two hundred forty-four thousand, one hundred".