2121132300 has 144 divisors (see below), whose sum is σ = 7203705600. Its totient is φ = 471709440.

The previous prime is 2121132269. The next prime is 2121132301. The reversal of 2121132300 is 32311212.

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 2121132300.

It is not an unprimeable number, because it can be changed into a prime (2121132301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64051 + ... + 91349.

Almost surely, 2^2121132300 is an apocalyptic number.

2121132300 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 2121132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601852800).

2121132300 is an abundant number, since it is smaller than the sum of its proper divisors (5082573300).

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

2121132300 is a wasteful number, since it uses less digits than its factorization.

2121132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27360 (or 27353 counting only the distinct ones).

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

The square root of 2121132300 is about 46055.7520837517. The cubic root of 2121132300 is about 1284.8603258785.

Adding to 2121132300 its reverse (32311212), we get a palindrome (2153443512).

It can be divided in two parts, 2121 and 132300, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 2121132300 in words is "two billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred".