112101111100020 has 192 divisors, whose sum is σ = 368444030363136. Its totient is φ = 24928886384640.

The previous prime is 112101111099961. The next prime is 112101111100087. The reversal of 112101111100020 is 20001111101211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112101111099969 and 112101111100005.

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, 233684010 + ... + 234163230.

It is an arithmetic number, because the mean of its divisors is an integer number (1918979324808).

Almost surely, 2^{112101111100020} is an apocalyptic number.

112101111100020 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 112101111100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184222015181568).

112101111100020 is an abundant number, since it is smaller than the sum of its proper divisors (256342919263116).

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

112101111100020 is a wasteful number, since it uses less digits than its factorization.

112101111100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494330 (or 494328 counting only the distinct ones).

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

Adding to 112101111100020 its reverse (20001111101211), we get a palindrome (132102222201231).

The spelling of 112101111100020 in words is "one hundred twelve trillion, one hundred one billion, one hundred eleven million, one hundred thousand, twenty".