2041110100 has 72 divisors (see below), whose sum is σ = 4714807608. Its totient is φ = 764313600.

The previous prime is 2041110089. The next prime is 2041110101. The reversal of 2041110100 is 10111402.

It can be written as a sum of positive squares in 12 ways, for example, as 1083331396 + 957778704 = 32914^2 + 30948^2 .

It is a super-2 number, since 2×2041110100² = 8332260880644020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041110101) by changing a digit.

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, 324990 + ... + 331210.

It is an arithmetic number, because the mean of its divisors is an integer number (65483439).

Almost surely, 2^2041110100 is an apocalyptic number.

2041110100 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 2041110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357403804).

2041110100 is an abundant number, since it is smaller than the sum of its proper divisors (2673697508).

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

2041110100 is a wasteful number, since it uses less digits than its factorization.

2041110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2041110100 is about 45178.6465047372. The cubic root of 2041110100 is about 1268.4951485660.

Adding to 2041110100 its reverse (10111402), we get a palindrome (2051221502).

It can be divided in two parts, 2041110 and 100, that added together give a triangular number (2041210 = T₂₀₂₀).

The spelling of 2041110100 in words is "two billion, forty-one million, one hundred ten thousand, one hundred".