201100013400 has 384 divisors, whose sum is σ = 733453056000. Its totient is φ = 44936601600.

The previous prime is 201100013393. The next prime is 201100013453. The reversal of 201100013400 is 4310001102.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83825401 + ... + 83827799.

It is an arithmetic number, because the mean of its divisors is an integer number (1910034000).

Almost surely, 2^201100013400 is an apocalyptic number.

201100013400 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 201100013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366726528000).

201100013400 is an abundant number, since it is smaller than the sum of its proper divisors (532353042600).

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

201100013400 is a wasteful number, since it uses less digits than its factorization.

201100013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201100013400 its reverse (4310001102), we get a palindrome (205410014502).

The spelling of 201100013400 in words is "two hundred one billion, one hundred million, thirteen thousand, four hundred".