201001101120000 has 600 divisors, whose sum is σ = 729698660433600. Its totient is φ = 53245209600000.

The previous prime is 201001101119989. The next prime is 201001101120023. The reversal of 201001101120000 is 21101100102.

It is a happy number.

201001101120000 is digitally balanced in base 2, because in such base 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 (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 434648901 + ... + 435111099.

It is an arithmetic number, because the mean of its divisors is an integer number (1216164434056).

Almost surely, 2^{201001101120000} is an apocalyptic number.

201001101120000 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 201001101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364849330216800).

201001101120000 is an abundant number, since it is smaller than the sum of its proper divisors (528697559313600).

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

201001101120000 is an equidigital number, since it uses as much as digits as its factorization.

201001101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462394 (or 462360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201001101120000 its reverse (21101100102), we get a palindrome (201022202220102).

The spelling of 201001101120000 in words is "two hundred one trillion, one billion, one hundred one million, one hundred twenty thousand".