2123133100200 has 288 divisors, whose sum is σ = 8150401733760. Its totient is φ = 485191411200.

The previous prime is 2123133100181. The next prime is 2123133100217. The reversal of 2123133100200 is 20013313212.

2123133100200 is a `hidden beast` number, since 21 + 2 + 313 + 310 + 0 + 20 + 0 = 666.

It is a super-2 number, since 2×2123133100200² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 78068605 + ... + 78095795.

It is an arithmetic number, because the mean of its divisors is an integer number (28300006020).

Almost surely, 2^{2123133100200} is an apocalyptic number.

2123133100200 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 2123133100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075200866880).

2123133100200 is an abundant number, since it is smaller than the sum of its proper divisors (6027268633560).

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

2123133100200 is a wasteful number, since it uses less digits than its factorization.

2123133100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33417 (or 33405 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2123133100200 its reverse (20013313212), we get a palindrome (2143146413412).

The spelling of 2123133100200 in words is "two trillion, one hundred twenty-three billion, one hundred thirty-three million, one hundred thousand, two hundred".