111011121010020 has 192 divisors, whose sum is σ = 387572883167232. Its totient is φ = 23064677376000.

The previous prime is 111011121009967. The next prime is 111011121010021. The reversal of 111011121010020 is 20010121110111.

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 = 111011121009978 and 111011121010005.

It is not an unprimeable number, because it can be changed into a prime (111011121010021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40297540 + ... + 42964100.

It is an arithmetic number, because the mean of its divisors is an integer number (2018608766496).

Almost surely, 2^{111011121010020} is an apocalyptic number.

111011121010020 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 111011121010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193786441583616).

111011121010020 is an abundant number, since it is smaller than the sum of its proper divisors (276561762157212).

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

111011121010020 is a wasteful number, since it uses less digits than its factorization.

111011121010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675602 (or 2675600 counting only the distinct ones).

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

Adding to 111011121010020 its reverse (20010121110111), we get a palindrome (131021242120131).

The spelling of 111011121010020 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-one million, ten thousand, twenty".