2121133021200 has 90 divisors (see below), whose sum is σ = 7360920799674. Its totient is φ = 565635471360.

The previous prime is 2121133021187. The next prime is 2121133021207. The reversal of 2121133021200 is 21203311212.

2121133021200 is a `hidden beast` number, since 2 + 1 + 211 + 330 + 2 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 659974262544 + 1461158758656 = 812388^2 + 1208784^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (2121133021207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 294598209 + ... + 294605408.

Almost surely, 2^{2121133021200} is an apocalyptic number.

2121133021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121133021200 is an abundant number, since it is smaller than the sum of its proper divisors (5239787778474).

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

2121133021200 is a wasteful number, since it uses less digits than its factorization.

2121133021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589203641 (or 589203627 counting only the distinct ones).

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

Adding to 2121133021200 its reverse (21203311212), we get a palindrome (2142336332412).

The spelling of 2121133021200 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-three million, twenty-one thousand, two hundred".