221407321100000 has 576 divisors, whose sum is σ = 661570111802880. Its totient is φ = 71243193600000.

The previous prime is 221407321099973. The next prime is 221407321100011. The reversal of 221407321100000 is 1123704122.

221407321100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1423022210 + ... + 1423177790.

It is an arithmetic number, because the mean of its divisors is an integer number (1148559221880).

Almost surely, 2^{221407321100000} is an apocalyptic number.

221407321100000 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 221407321100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330785055901440).

221407321100000 is an abundant number, since it is smaller than the sum of its proper divisors (440162790702880).

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

221407321100000 is a wasteful number, since it uses less digits than its factorization.

221407321100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155749 (or 155721 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 221407321100000 its reverse (1123704122), we get a palindrome (221408444804122).

The spelling of 221407321100000 in words is "two hundred twenty-one trillion, four hundred seven billion, three hundred twenty-one million, one hundred thousand".