2121211132200 has 144 divisors (see below), whose sum is σ = 7316267634780. Its totient is φ = 550368276480.

The previous prime is 2121211132181. The next prime is 2121211132289. The reversal of 2121211132200 is 22311121212.

2121211132200 is a `hidden beast` number, since 2 + 121 + 211 + 132 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 918227730564 + 1202983401636 = 958242^2 + 1096806^2 .

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15858409 + ... + 15991608.

Almost surely, 2^{2121211132200} is an apocalyptic number.

2121211132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121211132200 is an abundant number, since it is smaller than the sum of its proper divisors (5195056502580).

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

2121211132200 is a wasteful number, since it uses less digits than its factorization.

2121211132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31850076 (or 31850064 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2121211132200 its reverse (22311121212), we get a palindrome (2143522253412).

The spelling of 2121211132200 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred thirty-two thousand, two hundred".