213101222400 has 720 divisors, whose sum is σ = 836952244128. Its totient is φ = 51351552000.

The previous prime is 213101222359. The next prime is 213101222413. The reversal of 213101222400 is 4222101312.

It is a happy number.

213101222400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267378802 + ... + 267379598.

Almost surely, 2^213101222400 is an apocalyptic number.

213101222400 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 213101222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418476122064).

213101222400 is an abundant number, since it is smaller than the sum of its proper divisors (623851021728).

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

213101222400 is a wasteful number, since it uses less digits than its factorization.

213101222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213101222400 its reverse (4222101312), we get a palindrome (217323323712).

The spelling of 213101222400 in words is "two hundred thirteen billion, one hundred one million, two hundred twenty-two thousand, four hundred".