100011221200 has 120 divisors (see below), whose sum is σ = 271159296480. Its totient is φ = 35113612800.

The previous prime is 100011221183. The next prime is 100011221201. The reversal of 100011221200 is 2122110001.

100011221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264294 + ... + 519493.

It is an arithmetic number, because the mean of its divisors is an integer number (2259660804).

Almost surely, 2^100011221200 is an apocalyptic number.

100011221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011221200 is an abundant number, since it is smaller than the sum of its proper divisors (171148075280).

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

100011221200 is a wasteful number, since it uses less digits than its factorization.

100011221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783845 (or 783834 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100011221200 its reverse (2122110001), we get a palindrome (102133331201).

The spelling of 100011221200 in words is "one hundred billion, eleven million, two hundred twenty-one thousand, two hundred".