12101101101120 has 112 divisors (see below), whose sum is σ = 39314507664960. Its totient is φ = 3151914694656.

The previous prime is 12101101101119. The next prime is 12101101101121. The reversal of 12101101101120 is 2110110110121.

It is an interprime number because it is at equal distance from previous prime (12101101101119) and next prime (12101101101121).

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 = 12101101101096 and 12101101101105.

It is not an unprimeable number, because it can be changed into a prime (12101101101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146532135 + ... + 146614694.

Almost surely, 2^{12101101101120} is an apocalyptic number.

12101101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101101101120 is an abundant number, since it is smaller than the sum of its proper divisors (27213406563840).

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

12101101101120 is a wasteful number, since it uses less digits than its factorization.

12101101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293146892 (or 293146882 counting only the distinct ones).

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

Adding to 12101101101120 its reverse (2110110110121), we get a palindrome (14211211211241).

Subtracting from 12101101101120 its reverse (2110110110121), we obtain a palindrome (9990990990999).

The spelling of 12101101101120 in words is "twelve trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred twenty".