2133102100200 has 192 divisors, whose sum is σ = 6632950464000. Its totient is φ = 567080067840.

The previous prime is 2133102100189. The next prime is 2133102100223. The reversal of 2133102100200 is 20012013312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2133102100200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725790331 + ... + 725793269.

It is an arithmetic number, because the mean of its divisors is an integer number (34546617000).

Almost surely, 2^{2133102100200} is an apocalyptic number.

2133102100200 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 2133102100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316475232000).

2133102100200 is an abundant number, since it is smaller than the sum of its proper divisors (4499848363800).

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

2133102100200 is a wasteful number, since it uses less digits than its factorization.

2133102100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2133102100200 its reverse (20012013312), we get a palindrome (2153114113512).

The spelling of 2133102100200 in words is "two trillion, one hundred thirty-three billion, one hundred two million, one hundred thousand, two hundred".