100722472200 has 288 divisors, whose sum is σ = 390414922560. Its totient is φ = 22794048000.

The previous prime is 100722472187. The next prime is 100722472261. The reversal of 100722472200 is 2274227001.

100722472200 is a `hidden beast` number, since 100 + 72 + 2 + 472 + 20 + 0 = 666.

100722472200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 1233027 + ... + 1312173.

It is an arithmetic number, because the mean of its divisors is an integer number (1355607370).

Almost surely, 2^100722472200 is an apocalyptic number.

100722472200 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 100722472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195207461280).

100722472200 is an abundant number, since it is smaller than the sum of its proper divisors (289692450360).

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

100722472200 is a wasteful number, since it uses less digits than its factorization.

100722472200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79277 (or 79265 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 100722472200 its reverse (2274227001), we get a palindrome (102996699201).

The spelling of 100722472200 in words is "one hundred billion, seven hundred twenty-two million, four hundred seventy-two thousand, two hundred".