201110001100120 has 128 divisors (see below), whose sum is σ = 519740326310400. Its totient is φ = 68605898489856.

The previous prime is 201110001100117. The next prime is 201110001100181. The reversal of 201110001100120 is 21001100011102.

It is a super-2 number, since 2×201110001100120² (a number of 29 digits) contains 22 as substring.

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 = 201110001100097 and 201110001100106.

It is a congruent number.

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, 61958151 + ... + 65123209.

It is an arithmetic number, because the mean of its divisors is an integer number (4060471299300).

Almost surely, 2^{201110001100120} is an apocalyptic number.

201110001100120 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 201110001100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259870163155200).

201110001100120 is an abundant number, since it is smaller than the sum of its proper divisors (318630325210280).

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

201110001100120 is a wasteful number, since it uses less digits than its factorization.

201110001100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166217 (or 3166213 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201110001100120 its reverse (21001100011102), we get a palindrome (222111101111222).

The spelling of 201110001100120 in words is "two hundred one trillion, one hundred ten billion, one million, one hundred thousand, one hundred twenty".