111011100100020 has 144 divisors (see below), whose sum is σ = 339820029476928. Its totient is φ = 29332867898880.

The previous prime is 111011100100003. The next prime is 111011100100027. The reversal of 111011100100020 is 20001001110111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111011100099975 and 111011100100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111011100100027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2183392 + ... + 15059528.

It is an arithmetic number, because the mean of its divisors is an integer number (2359861315812).

Almost surely, 2^{111011100100020} is an apocalyptic number.

111011100100020 is a gapful number since it is divisible by the number (10) 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 111011100100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169910014738464).

111011100100020 is an abundant number, since it is smaller than the sum of its proper divisors (228808929376908).

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

111011100100020 is a wasteful number, since it uses less digits than its factorization.

111011100100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876590 (or 12876585 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111011100100020 its reverse (20001001110111), we get a palindrome (131012101210131).

The spelling of 111011100100020 in words is "one hundred eleven trillion, eleven billion, one hundred million, one hundred thousand, twenty".