100022122200 has 1152 divisors, whose sum is σ = 435879601920. Its totient is φ = 18637516800.

The previous prime is 100022122153. The next prime is 100022122243. The reversal of 100022122200 is 2221220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 155555079 + ... + 155555721.

It is an arithmetic number, because the mean of its divisors is an integer number (378367710).

Almost surely, 2^100022122200 is an apocalyptic number.

100022122200 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 100022122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217939800960).

100022122200 is an abundant number, since it is smaller than the sum of its proper divisors (335857479720).

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

100022122200 is a wasteful number, since it uses less digits than its factorization.

100022122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022122200 its reverse (2221220001), we get a palindrome (102243342201).

It can be divided in two parts, 100022 and 122200, that added together give a palindrome (222222).

The spelling of 100022122200 in words is "one hundred billion, twenty-two million, one hundred twenty-two thousand, two hundred".