2133202301100 has 432 divisors, whose sum is σ = 7702986852288. Its totient is φ = 489108602880.

The previous prime is 2133202301051. The next prime is 2133202301149. The reversal of 2133202301100 is 11032023312.

2133202301100 is a `hidden beast` number, since 2 + 1 + 3 + 320 + 230 + 110 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2133202301051) and next prime (2133202301149).

It is a super-2 number, since 2×2133202301100² (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 143 ways as a sum of consecutive naturals, for example, 19238017 + ... + 19348583.

It is an arithmetic number, because the mean of its divisors is an integer number (17830988084).

Almost surely, 2^{2133202301100} is an apocalyptic number.

2133202301100 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 2133202301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851493426144).

2133202301100 is an abundant number, since it is smaller than the sum of its proper divisors (5569784551188).

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

2133202301100 is a wasteful number, since it uses less digits than its factorization.

2133202301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110714 (or 110704 counting only the distinct ones).

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

Adding to 2133202301100 its reverse (11032023312), we get a palindrome (2144234324412).

The spelling of 2133202301100 in words is "two trillion, one hundred thirty-three billion, two hundred two million, three hundred one thousand, one hundred".