201110400 has 144 divisors (see below), whose sum is σ = 717710760. Its totient is φ = 53621760.

The previous prime is 201110387. The next prime is 201110417. The reversal of 201110400 is 4011102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25309 + ... + 32291.

Almost surely, 2^201110400 is an apocalyptic number.

201110400 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 201110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358855380).

201110400 is an abundant number, since it is smaller than the sum of its proper divisors (516600360).

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

201110400 is a wasteful number, since it uses less digits than its factorization.

201110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201110400 is about 14181.3398520732. The cubic root of 201110400 is about 585.8838272970.

Adding to 201110400 its reverse (4011102), we get a palindrome (205121502).

The spelling of 201110400 in words is "two hundred one million, one hundred ten thousand, four hundred".