201044134104 has 128 divisors (see below), whose sum is σ = 577369728000. Its totient is φ = 57695068800.

The previous prime is 201044134079. The next prime is 201044134117. The reversal of 201044134104 is 401431440102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18508627 + ... + 18519485.

It is an arithmetic number, because the mean of its divisors is an integer number (4510701000).

Almost surely, 2^201044134104 is an apocalyptic number.

201044134104 is a gapful number since it is divisible by the number (24) 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 201044134104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288684864000).

201044134104 is an abundant number, since it is smaller than the sum of its proper divisors (376325593896).

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

201044134104 is a wasteful number, since it uses less digits than its factorization.

201044134104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14589 (or 14585 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201044134104 its reverse (401431440102), we get a palindrome (602475574206).

The spelling of 201044134104 in words is "two hundred one billion, forty-four million, one hundred thirty-four thousand, one hundred four".