2133200312100 has 432 divisors, whose sum is σ = 8317436400000. Its totient is φ = 449279078400.

The previous prime is 2133200312099. The next prime is 2133200312119. The reversal of 2133200312100 is 12130023312.

2133200312100 is a `hidden beast` number, since 21 + 3 + 320 + 0 + 312 + 10 + 0 = 666.

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, 1700401 + ... + 2675399.

It is an arithmetic number, because the mean of its divisors is an integer number (19253325000).

Almost surely, 2^{2133200312100} is an apocalyptic number.

2133200312100 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 2133200312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158718200000).

2133200312100 is an abundant number, since it is smaller than the sum of its proper divisors (6184236087900).

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

2133200312100 is a wasteful number, since it uses less digits than its factorization.

2133200312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975060 (or 975050 counting only the distinct ones).

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

Adding to 2133200312100 its reverse (12130023312), we get a palindrome (2145330335412).

The spelling of 2133200312100 in words is "two trillion, one hundred thirty-three billion, two hundred million, three hundred twelve thousand, one hundred".