2133202013100 has 216 divisors, whose sum is σ = 6730719498048. Its totient is φ = 565096089600.

The previous prime is 2133202013087. The next prime is 2133202013119. The reversal of 2133202013100 is 13102023312.

2133202013100 is a `hidden beast` number, since 2 + 1 + 332 + 0 + 20 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×2133202013100² (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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84001405 + ... + 84026795.

Almost surely, 2^{2133202013100} is an apocalyptic number.

2133202013100 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 2133202013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365359749024).

2133202013100 is an abundant number, since it is smaller than the sum of its proper divisors (4597517484948).

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

2133202013100 is a wasteful number, since it uses less digits than its factorization.

2133202013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26025 (or 26015 counting only the distinct ones).

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

Adding to 2133202013100 its reverse (13102023312), we get a palindrome (2146304036412).

The spelling of 2133202013100 in words is "two trillion, one hundred thirty-three billion, two hundred two million, thirteen thousand, one hundred".