100122221200 has 120 divisors (see below), whose sum is σ = 247001601600. Its totient is φ = 38986913280.

The previous prime is 100122221099. The next prime is 100122221203. The reversal of 100122221200 is 2122221001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100122221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2410206 + ... + 2451394.

It is an arithmetic number, because the mean of its divisors is an integer number (2058346680).

Almost surely, 2^100122221200 is an apocalyptic number.

100122221200 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 100122221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123500800800).

100122221200 is an abundant number, since it is smaller than the sum of its proper divisors (146879380400).

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

100122221200 is a wasteful number, since it uses less digits than its factorization.

100122221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41369 (or 41358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100122221200 its reverse (2122221001), we get a palindrome (102244442201).

The spelling of 100122221200 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred".