2121100032 has 72 divisors (see below), whose sum is σ = 5741023680. Its totient is φ = 695034880.

The previous prime is 2121100021. The next prime is 2121100097. The reversal of 2121100032 is 2300011212.

2121100032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2121099990 and 2121100017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21907 + ... + 68717.

It is an arithmetic number, because the mean of its divisors is an integer number (79736440).

Almost surely, 2^2121100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870511840).

2121100032 is an abundant number, since it is smaller than the sum of its proper divisors (3619923648).

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

2121100032 is an equidigital number, since it uses as much as digits as its factorization.

2121100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46889 (or 46875 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2121100032 is about 46055.4017678708. The cubic root of 2121100032 is about 1284.8538104774.

Adding to 2121100032 its reverse (2300011212), we get a palindrome (4421111244).

The spelling of 2121100032 in words is "two billion, one hundred twenty-one million, one hundred thousand, thirty-two".