112112211101020 has 192 divisors, whose sum is σ = 257225835081600. Its totient is φ = 40797652008960.

The previous prime is 112112211101017. The next prime is 112112211101141. The reversal of 112112211101020 is 20101112211211.

It is a junction number, because it is equal to n+sod(n) for n = 112112211100985 and 112112211101003.

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, 21407713842 + ... + 21407719078.

It is an arithmetic number, because the mean of its divisors is an integer number (1339717891050).

Almost surely, 2^{112112211101020} is an apocalyptic number.

112112211101020 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 112112211101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128612917540800).

112112211101020 is an abundant number, since it is smaller than the sum of its proper divisors (145113623980580).

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

112112211101020 is a wasteful number, since it uses less digits than its factorization.

112112211101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 112112211101020 its reverse (20101112211211), we get a palindrome (132213323312231).

The spelling of 112112211101020 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred eleven million, one hundred one thousand, twenty".