110010011121120 has 192 divisors, whose sum is σ = 384441765684480. Its totient is φ = 26217074995200.

The previous prime is 110010011121113. The next prime is 110010011121133. The reversal of 110010011121120 is 21121110010011.

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 = 110010011121096 and 110010011121105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176258221 + ... + 176881260.

It is an arithmetic number, because the mean of its divisors is an integer number (2002300862940).

Almost surely, 2^{110010011121120} is an apocalyptic number.

110010011121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010011121120 is an abundant number, since it is smaller than the sum of its proper divisors (274431754563360).

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

110010011121120 is a wasteful number, since it uses less digits than its factorization.

110010011121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353139569 (or 353139561 counting only the distinct ones).

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

Adding to 110010011121120 its reverse (21121110010011), we get a palindrome (131131121131131).

It can be divided in two parts, 11001001 and 1121120, that added together give a palindrome (12122121).

The spelling of 110010011121120 in words is "one hundred ten trillion, ten billion, eleven million, one hundred twenty-one thousand, one hundred twenty".