110201111111120 has 60 divisors (see below), whose sum is σ = 262619212743660. Its totient is φ = 43005311600640.

The previous prime is 110201111111107. The next prime is 110201111111137. The reversal of 110201111111120 is 21111111102011.

It can be written as a sum of positive squares in 6 ways, for example, as 59039307159616 + 51161803951504 = 7683704^2 + 7152748^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110201111111095 and 110201111111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409596005 + ... + 409864964.

It is an arithmetic number, because the mean of its divisors is an integer number (4376986879061).

Almost surely, 2^{110201111111120} is an apocalyptic number.

110201111111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201111111120 is an abundant number, since it is smaller than the sum of its proper divisors (152418101632540).

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

110201111111120 is an equidigital number, since it uses as much as digits as its factorization.

110201111111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819461064 (or 819461017 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 110201111111120 its reverse (21111111102011), we get a palindrome (131312222213131).

The spelling of 110201111111120 in words is "one hundred ten trillion, two hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".