2102032100 has 144 divisors (see below), whose sum is σ = 5485148928. Its totient is φ = 683612160.

The previous prime is 2102032091. The next prime is 2102032139. The reversal of 2102032100 is 12302012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2205224 + ... + 2206176.

It is an arithmetic number, because the mean of its divisors is an integer number (38091312).

Almost surely, 2^2102032100 is an apocalyptic number.

2102032100 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 2102032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742574464).

2102032100 is an abundant number, since it is smaller than the sum of its proper divisors (3383116828).

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

2102032100 is a wasteful number, since it uses less digits than its factorization.

2102032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2102032100 is about 45847.9236171062. The cubic root of 2102032100 is about 1280.9920897489.

Adding to 2102032100 its reverse (12302012), we get a palindrome (2114334112).

The spelling of 2102032100 in words is "two billion, one hundred two million, thirty-two thousand, one hundred".