201110121011100 has 216 divisors, whose sum is σ = 716695632137520. Its totient is φ = 43264025978880.

The previous prime is 201110121011081. The next prime is 201110121011141. The reversal of 201110121011100 is 1110121011102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 402131295 + ... + 402631094.

It is an arithmetic number, because the mean of its divisors is an integer number (3318035333970).

Almost surely, 2^{201110121011100} is an apocalyptic number.

201110121011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110121011100 is an abundant number, since it is smaller than the sum of its proper divisors (515585511126420).

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

201110121011100 is a wasteful number, since it uses less digits than its factorization.

201110121011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804762437 (or 804762423 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201110121011100 its reverse (1110121011102), we get a palindrome (202220242022202).

It can be divided in two parts, 20111012 and 1011100, that added together give a palindrome (21122112).

The spelling of 201110121011100 in words is "two hundred one trillion, one hundred ten billion, one hundred twenty-one million, eleven thousand, one hundred".