2230213121100 has 324 divisors, whose sum is σ = 7217623917504. Its totient is φ = 575984079360.

The previous prime is 2230213121053. The next prime is 2230213121113. The reversal of 2230213121100 is 11213120322.

2230213121100 is a `hidden beast` number, since 2 + 230 + 21 + 312 + 1 + 100 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 274754242 + ... + 274762358.

Almost surely, 2^{2230213121100} is an apocalyptic number.

2230213121100 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 2230213121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608811958752).

2230213121100 is an abundant number, since it is smaller than the sum of its proper divisors (4987410796404).

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

2230213121100 is a wasteful number, since it uses less digits than its factorization.

2230213121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2230213121100 its reverse (11213120322), we get a palindrome (2241426241422).

The spelling of 2230213121100 in words is "two trillion, two hundred thirty billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred".