201112010400 has 144 divisors (see below), whose sum is σ = 748136741184. Its totient is φ = 45968455680.

The previous prime is 201112010381. The next prime is 201112010401. The reversal of 201112010400 is 4010211102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201112010401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5968677 + ... + 6002276.

It is an arithmetic number, because the mean of its divisors is an integer number (5195394036).

Almost surely, 2^201112010400 is an apocalyptic number.

201112010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112010400 is an abundant number, since it is smaller than the sum of its proper divisors (547024730784).

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

201112010400 is a wasteful number, since it uses less digits than its factorization.

201112010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11970983 (or 11970970 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201112010400 its reverse (4010211102), we get a palindrome (205122221502).

The spelling of 201112010400 in words is "two hundred one billion, one hundred twelve million, ten thousand, four hundred".