201110020010020 has 288 divisors, whose sum is σ = 495910493648640. Its totient is φ = 67919476162560.

The previous prime is 201110020009837. The next prime is 201110020010047. The reversal of 201110020010020 is 20010020011102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201110020009979 and 201110020010006.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2846250532 + ... + 2846321188.

It is an arithmetic number, because the mean of its divisors is an integer number (1721911436280).

Almost surely, 2^{201110020010020} is an apocalyptic number.

201110020010020 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 201110020010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247955246824320).

201110020010020 is an abundant number, since it is smaller than the sum of its proper divisors (294800473638620).

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

201110020010020 is a wasteful number, since it uses less digits than its factorization.

201110020010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71303 (or 71284 counting only the distinct ones).

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

Adding to 201110020010020 its reverse (20010020011102), we get a palindrome (221120040021122).

The spelling of 201110020010020 in words is "two hundred one trillion, one hundred ten billion, twenty million, ten thousand, twenty".