12101001102120 has 128 divisors (see below), whose sum is σ = 41491170201600. Its totient is φ = 2765808205056.

The previous prime is 12101001102119. The next prime is 12101001102133. The reversal of 12101001102120 is 2120110010121.

12101001102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12101001102096 and 12101001102105.

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, 17416017 + ... + 18097503.

It is an arithmetic number, because the mean of its divisors is an integer number (324149767200).

Almost surely, 2^{12101001102120} is an apocalyptic number.

12101001102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101001102120 is an abundant number, since it is smaller than the sum of its proper divisors (29390169099480).

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

12101001102120 is a wasteful number, since it uses less digits than its factorization.

12101001102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702647 (or 702643 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101001102120 its reverse (2120110010121), we get a palindrome (14221111112241).

The spelling of 12101001102120 in words is "twelve trillion, one hundred one billion, one million, one hundred two thousand, one hundred twenty".