201101010110000 has 3200 divisors, whose sum is σ = 720894959769600. Its totient is φ = 52399872000000.

The previous prime is 201101010109999. The next prime is 201101010110017. The reversal of 201101010110000 is 11010101102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 201101010110000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1991099109950 + ... + 1991099110050.

It is an arithmetic number, because the mean of its divisors is an integer number (225279674928).

Almost surely, 2^{201101010110000} is an apocalyptic number.

201101010110000 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 201101010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360447479884800).

201101010110000 is an abundant number, since it is smaller than the sum of its proper divisors (519793949659600).

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

201101010110000 is a wasteful number, since it uses less digits than its factorization.

201101010110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 201101010110000 its reverse (11010101102), we get a palindrome (201112020211102).

The spelling of 201101010110000 in words is "two hundred one trillion, one hundred one billion, ten million, one hundred ten thousand".