101110201120 has 48 divisors (see below), whose sum is σ = 238903378560. Its totient is φ = 40438911744.

The previous prime is 101110201117. The next prime is 101110201151. The reversal of 101110201120 is 21102011101.

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 = 101110201097 and 101110201106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368649 + ... + 1440631.

It is an arithmetic number, because the mean of its divisors is an integer number (4977153720).

Almost surely, 2^101110201120 is an apocalyptic number.

101110201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110201120 is an abundant number, since it is smaller than the sum of its proper divisors (137793177440).

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

101110201120 is an equidigital number, since it uses as much as digits as its factorization.

101110201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80777 (or 80769 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101110201120 its reverse (21102011101), we get a palindrome (122212212221).

The spelling of 101110201120 in words is "one hundred one billion, one hundred ten million, two hundred one thousand, one hundred twenty".