2133210022100 has 72 divisors (see below), whose sum is σ = 4793725478808. Its totient is φ = 823459852800.

The previous prime is 2133210022087. The next prime is 2133210022103. The reversal of 2133210022100 is 12200123312.

It can be written as a sum of positive squares in 12 ways, for example, as 930441584836 + 1202768437264 = 964594^2 + 1096708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133210022103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2975819 + ... + 3622418.

It is an arithmetic number, because the mean of its divisors is an integer number (66579520539).

Almost surely, 2^{2133210022100} is an apocalyptic number.

2133210022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133210022100 is an abundant number, since it is smaller than the sum of its proper divisors (2660515456708).

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

2133210022100 is a wasteful number, since it uses less digits than its factorization.

2133210022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598365 (or 6598358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2133210022100 its reverse (12200123312), we get a palindrome (2145410145412).

The spelling of 2133210022100 in words is "two trillion, one hundred thirty-three billion, two hundred ten million, twenty-two thousand, one hundred".