2101332100 has 72 divisors (see below), whose sum is σ = 5246539200. Its totient is φ = 715585920.

The previous prime is 2101332053. The next prime is 2101332119. The reversal of 2101332100 is 12331012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94227 + ... + 114373.

It is an arithmetic number, because the mean of its divisors is an integer number (72868600).

Almost surely, 2^2101332100 is an apocalyptic number.

2101332100 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 2101332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623269600).

2101332100 is an abundant number, since it is smaller than the sum of its proper divisors (3145207100).

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

2101332100 is a wasteful number, since it uses less digits than its factorization.

2101332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20317 (or 20310 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2101332100 is about 45840.2890479543. The cubic root of 2101332100 is about 1280.8498791047.

Adding to 2101332100 its reverse (12331012), we get a palindrome (2113663112).

The spelling of 2101332100 in words is "two billion, one hundred one million, three hundred thirty-two thousand, one hundred".