221139100800 has 648 divisors, whose sum is σ = 843395540715. Its totient is φ = 55161077760.

The previous prime is 221139100789. The next prime is 221139100807. The reversal of 221139100800 is 8001931122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221139100800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 143992927296 + 77146173504 = 379464^2 + 277752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332520.

It is not an unprimeable number, because it can be changed into a prime (221139100807) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1356681519 + ... + 1356681681.

Almost surely, 2^221139100800 is an apocalyptic number.

221139100800 is a gapful number since it is divisible by the number (20) 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 221139100800

221139100800 is an abundant number, since it is smaller than the sum of its proper divisors (622256439915).

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

221139100800 is a wasteful number, since it uses less digits than its factorization.

221139100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 221139100800 in words is "two hundred twenty-one billion, one hundred thirty-nine million, one hundred thousand, eight hundred".