201011200102000 has 160 divisors (see below), whose sum is σ = 494604477626688. Its totient is φ = 79000688000000.

The previous prime is 201011200101991. The next prime is 201011200102001. The reversal of 201011200102000 is 201002110102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011200102001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22663890 + ... + 30260110.

Almost surely, 2^{201011200102000} is an apocalyptic number.

201011200102000 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 201011200102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247302238813344).

201011200102000 is an abundant number, since it is smaller than the sum of its proper divisors (293593277524688).

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

201011200102000 is a wasteful number, since it uses less digits than its factorization.

201011200102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596476 (or 7596460 counting only the distinct ones).

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

Adding to 201011200102000 its reverse (201002110102), we get a palindrome (201212202212102).

The spelling of 201011200102000 in words is "two hundred one trillion, eleven billion, two hundred million, one hundred two thousand".