201104022000000 has 896 divisors, whose sum is σ = 763808298128640. Its totient is φ = 45924480000000.

The previous prime is 201104021999983. The next prime is 201104022000121. The reversal of 201104022000000 is 220401102.

201104022000000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a self number, because there is not a number n which added to its sum of digits gives 201104022000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84461998810 + ... + 84462001190.

Almost surely, 2^{201104022000000} is an apocalyptic number.

201104022000000 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 201104022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381904149064320).

201104022000000 is an abundant number, since it is smaller than the sum of its proper divisors (562704276128640).

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

201104022000000 is an frugal number, since it uses more digits than its factorization.

201104022000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201104022000000 its reverse (220401102), we get a palindrome (201104242401102).

The spelling of 201104022000000 in words is "two hundred one trillion, one hundred four billion, twenty-two million", and thus it is an aban number.