201001201102000 has 640 divisors, whose sum is σ = 533773656299520. Its totient is φ = 72764121600000.

The previous prime is 201001201101997. The next prime is 201001201102019. The reversal of 201001201102000 is 201102100102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133025281245 + ... + 133025282755.

It is an arithmetic number, because the mean of its divisors is an integer number (834021337968).

Almost surely, 2^{201001201102000} is an apocalyptic number.

201001201102000 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 201001201102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266886828149760).

201001201102000 is an abundant number, since it is smaller than the sum of its proper divisors (332772455197520).

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

201001201102000 is a wasteful number, since it uses less digits than its factorization.

201001201102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201001201102000 its reverse (201102100102), we get a palindrome (201202303202102).

The spelling of 201001201102000 in words is "two hundred one trillion, one billion, two hundred one million, one hundred two thousand".