101110112220 has 288 divisors, whose sum is σ = 327155645376. Its totient is φ = 23187456000.

The previous prime is 101110112183. The next prime is 101110112239. The reversal of 101110112220 is 22211011101.

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 = 101110112196 and 101110112205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22765200 + ... + 22769640.

It is an arithmetic number, because the mean of its divisors is an integer number (1135957102).

Almost surely, 2^101110112220 is an apocalyptic number.

101110112220 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 101110112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577822688).

101110112220 is an abundant number, since it is smaller than the sum of its proper divisors (226045533156).

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

101110112220 is a wasteful number, since it uses less digits than its factorization.

101110112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101110112220 its reverse (22211011101), we get a palindrome (123321123321).

The spelling of 101110112220 in words is "one hundred one billion, one hundred ten million, one hundred twelve thousand, two hundred twenty".