2121331302100 has 72 divisors (see below), whose sum is σ = 4850262549440. Its totient is φ = 803093978880.

The previous prime is 2121331302061. The next prime is 2121331302107. The reversal of 2121331302100 is 12031331212.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121331302107) 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, 1422289 + ... + 2503111.

Almost surely, 2^{2121331302100} is an apocalyptic number.

2121331302100 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 2121331302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425131274720).

2121331302100 is an abundant number, since it is smaller than the sum of its proper divisors (2728931247340).

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

2121331302100 is a wasteful number, since it uses less digits than its factorization.

2121331302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081889 (or 1081882 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2121331302100 its reverse (12031331212), we get a palindrome (2133362633312).

The spelling of 2121331302100 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-one million, three hundred two thousand, one hundred".