201020101100000 has 288 divisors, whose sum is σ = 608820020649792. Its totient is φ = 63619545600000.

The previous prime is 201020101099943. The next prime is 201020101100047. The reversal of 201020101100000 is 1101020102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1945061 + ... + 20145060.

It is an arithmetic number, because the mean of its divisors is an integer number (2113958405034).

Almost surely, 2^{201020101100000} is an apocalyptic number.

201020101100000 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 201020101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304410010324896).

201020101100000 is an abundant number, since it is smaller than the sum of its proper divisors (407799919549792).

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

201020101100000 is an equidigital number, since it uses as much as digits as its factorization.

201020101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22090176 (or 22090148 counting only the distinct ones).

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

Adding to 201020101100000 its reverse (1101020102), we get a palindrome (201021202120102).

The spelling of 201020101100000 in words is "two hundred one trillion, twenty billion, one hundred one million, one hundred thousand".