2100332232100 has 72 divisors (see below), whose sum is σ = 4758386568768. Its totient is φ = 803182300800.

The previous prime is 2100332232083. The next prime is 2100332232101. The reversal of 2100332232100 is 12322330012.

It is a super-2 number, since 2×2100332232100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100332232101) 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, 4146670 + ... + 4625530.

It is an arithmetic number, because the mean of its divisors is an integer number (66088702344).

Almost surely, 2^{2100332232100} is an apocalyptic number.

2100332232100 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 2100332232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379193284384).

2100332232100 is an abundant number, since it is smaller than the sum of its proper divisors (2658054336668).

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

2100332232100 is a wasteful number, since it uses less digits than its factorization.

2100332232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480805 (or 480798 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2100332232100 its reverse (12322330012), we get a palindrome (2112654562112).

The spelling of 2100332232100 in words is "two trillion, one hundred billion, three hundred thirty-two million, two hundred thirty-two thousand, one hundred".