201110100120020 has 192 divisors, whose sum is σ = 547187012198400. Its totient is φ = 60294028423680.

The previous prime is 201110100119947. The next prime is 201110100120091. The reversal of 201110100120020 is 20021001011102.

It is a junction number, because it is equal to n+sod(n) for n = 201110100119983 and 201110100120010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 527880761 + ... + 528261599.

It is an arithmetic number, because the mean of its divisors is an integer number (2849932355200).

Almost surely, 2^{201110100120020} is an apocalyptic number.

201110100120020 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 201110100120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273593506099200).

201110100120020 is an abundant number, since it is smaller than the sum of its proper divisors (346076912078380).

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

201110100120020 is a wasteful number, since it uses less digits than its factorization.

201110100120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396158 (or 396156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201110100120020 its reverse (20021001011102), we get a palindrome (221131101131122).

The spelling of 201110100120020 in words is "two hundred one trillion, one hundred ten billion, one hundred million, one hundred twenty thousand, twenty".