111000210100020 has 144 divisors (see below), whose sum is σ = 338302718208000. Its totient is φ = 29459544814848.

The previous prime is 111000210099973. The next prime is 111000210100037. The reversal of 111000210100020 is 20001012000111.

It is a happy number.

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 = 111000210099975 and 111000210100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30471106 + ... + 33918854.

It is an arithmetic number, because the mean of its divisors is an integer number (2349324432000).

Almost surely, 2^{111000210100020} is an apocalyptic number.

111000210100020 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 111000210100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169151359104000).

111000210100020 is an abundant number, since it is smaller than the sum of its proper divisors (227302508107980).

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

111000210100020 is a wasteful number, since it uses less digits than its factorization.

111000210100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448614 (or 3448609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111000210100020 its reverse (20001012000111), we get a palindrome (131001222100131).

The spelling of 111000210100020 in words is "one hundred eleven trillion, two hundred ten million, one hundred thousand, twenty".