2101404200 has 144 divisors (see below), whose sum is σ = 5931182880. Its totient is φ = 689082240.

The previous prime is 2101404181. The next prime is 2101404211. The reversal of 2101404200 is 24041012.

It is a super-2 number, since 2×2101404200² = 8831799223555280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220739 + ... + 230061.

It is an arithmetic number, because the mean of its divisors is an integer number (41188770).

Almost surely, 2^2101404200 is an apocalyptic number.

2101404200 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 2101404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965591440).

2101404200 is an abundant number, since it is smaller than the sum of its proper divisors (3829778680).

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

2101404200 is a wasteful number, since it uses less digits than its factorization.

2101404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2101404200 is about 45841.0754673142. The cubic root of 2101404200 is about 1280.8645282599.

Adding to 2101404200 its reverse (24041012), we get a palindrome (2125445212).

The spelling of 2101404200 in words is "two billion, one hundred one million, four hundred four thousand, two hundred".