201010200101000 has 128 divisors (see below), whose sum is σ = 475229187164160. Its totient is φ = 79573099680000.

The previous prime is 201010200100987. The next prime is 201010200101047. The reversal of 201010200101000 is 101002010102.

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

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, 230551889 + ... + 231422111.

It is an arithmetic number, because the mean of its divisors is an integer number (3712728024720).

Almost surely, 2^{201010200101000} is an apocalyptic number.

201010200101000 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 201010200101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237614593582080).

201010200101000 is an abundant number, since it is smaller than the sum of its proper divisors (274218987063160).

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

201010200101000 is a wasteful number, since it uses less digits than its factorization.

201010200101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872632 (or 872618 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201010200101000 its reverse (101002010102), we get a palindrome (201111202111102).

The spelling of 201010200101000 in words is "two hundred one trillion, ten billion, two hundred million, one hundred one thousand".