111010110110020 has 768 divisors, whose sum is σ = 288330675978240. Its totient is φ = 35417088000000.

The previous prime is 111010110110017. The next prime is 111010110110023. The reversal of 111010110110020 is 20011011010111.

It is an interprime number because it is at equal distance from previous prime (111010110110017) and next prime (111010110110023).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111010110109979 and 111010110110006.

It is not an unprimeable number, because it can be changed into a prime (111010110110023) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 302479863877 + ... + 302479864243.

It is an arithmetic number, because the mean of its divisors is an integer number (375430567680).

Almost surely, 2^{111010110110020} is an apocalyptic number.

111010110110020 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 111010110110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144165337989120).

111010110110020 is an abundant number, since it is smaller than the sum of its proper divisors (177320565868220).

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

111010110110020 is a wasteful number, since it uses less digits than its factorization.

111010110110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111010110110020 its reverse (20011011010111), we get a palindrome (131021121120131).

Subtracting from 111010110110020 its reverse (20011011010111), we obtain a palindrome (90999099099909).

The spelling of 111010110110020 in words is "one hundred eleven trillion, ten billion, one hundred ten million, one hundred ten thousand, twenty".