110100111210120 has 96 divisors (see below), whose sum is σ = 331238724307200. Its totient is φ = 29276852791296.

The previous prime is 110100111210079. The next prime is 110100111210127. The reversal of 110100111210120 is 21012111001011.

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 = 110100111210096 and 110100111210105.

It is not an unprimeable number, because it can be changed into a prime (110100111210127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11271561 + ... + 18634599.

It is an arithmetic number, because the mean of its divisors is an integer number (3450403378200).

Almost surely, 2^{110100111210120} is an apocalyptic number.

110100111210120 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 110100111210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165619362153600).

110100111210120 is an abundant number, since it is smaller than the sum of its proper divisors (221138613097080).

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

110100111210120 is an equidigital number, since it uses as much as digits as its factorization.

110100111210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7363759 (or 7363402 counting only the distinct ones).

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

Adding to 110100111210120 its reverse (21012111001011), we get a palindrome (131112222211131).

The spelling of 110100111210120 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, two hundred ten thousand, one hundred twenty".