2100032100 has 216 divisors, whose sum is σ = 7211491560. Its totient is φ = 508784640.

The previous prime is 2100032093. The next prime is 2100032111. The reversal of 2100032100 is 12300012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 573410916 + 1526621184 = 23946^2 + 39072^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 441334 + ... + 446066.

It is an arithmetic number, because the mean of its divisors is an integer number (33386535).

Almost surely, 2^2100032100 is an apocalyptic number.

2100032100 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 2100032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605745780).

2100032100 is an abundant number, since it is smaller than the sum of its proper divisors (5111459460).

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

2100032100 is a wasteful number, since it uses less digits than its factorization.

2100032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100032100 is about 45826.1071879338. The cubic root of 2100032100 is about 1280.5856898100.

Adding to 2100032100 its reverse (12300012), we get a palindrome (2112332112).

The spelling of 2100032100 in words is "two billion, one hundred million, thirty-two thousand, one hundred".