2041212100 has 72 divisors (see below), whose sum is σ = 4707776808. Its totient is φ = 765542400.

The previous prime is 2041212077. The next prime is 2041212133. The reversal of 2041212100 is 12121402.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 333208516 + 1708003584 = 18254^2 + 41328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475564 + ... + 479836.

It is an arithmetic number, because the mean of its divisors is an integer number (65385789).

Almost surely, 2^2041212100 is an apocalyptic number.

2041212100 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 2041212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353888404).

2041212100 is an abundant number, since it is smaller than the sum of its proper divisors (2666564708).

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

2041212100 is a wasteful number, since it uses less digits than its factorization.

2041212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2041212100 is about 45179.7753425136. The cubic root of 2041212100 is about 1268.5162783016.

Adding to 2041212100 its reverse (12121402), we get a palindrome (2053333502).

The spelling of 2041212100 in words is "two billion, forty-one million, two hundred twelve thousand, one hundred".