201108034381800 has 1536 divisors, whose sum is σ = 840263019724800. Its totient is φ = 38572941312000.

The previous prime is 201108034381781. The next prime is 201108034381841. The reversal of 201108034381800 is 8183430801102.

201108034381800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201108034381800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15566835741 + ... + 15566848659.

It is an arithmetic number, because the mean of its divisors is an integer number (547046236800).

Almost surely, 2^{201108034381800} is an apocalyptic number.

201108034381800 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 201108034381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420131509862400).

201108034381800 is an abundant number, since it is smaller than the sum of its proper divisors (639154985343000).

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

201108034381800 is a wasteful number, since it uses less digits than its factorization.

201108034381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13547 (or 13538 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 201108034381800 in words is "two hundred one trillion, one hundred eight billion, thirty-four million, three hundred eighty-one thousand, eight hundred".