12010101210120 has 256 divisors, whose sum is σ = 38896686662400. Its totient is φ = 2949117050880.

The previous prime is 12010101210103. The next prime is 12010101210127. The reversal of 12010101210120 is 2101210101021.

It is a super-3 number, since 3×12010101210120³ (a number of 40 digits) contains 333 as substring.

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 = 12010101210096 and 12010101210105.

It is not an unprimeable number, because it can be changed into a prime (12010101210127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1229404596 + ... + 1229414364.

It is an arithmetic number, because the mean of its divisors is an integer number (151940182275).

Almost surely, 2^{12010101210120} is an apocalyptic number.

12010101210120 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 12010101210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19448343331200).

12010101210120 is an abundant number, since it is smaller than the sum of its proper divisors (26886585452280).

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

12010101210120 is a wasteful number, since it uses less digits than its factorization.

12010101210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11640 (or 11636 counting only the distinct ones).

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

Adding to 12010101210120 its reverse (2101210101021), we get a palindrome (14111311311141).

The spelling of 12010101210120 in words is "twelve trillion, ten billion, one hundred one million, two hundred ten thousand, one hundred twenty".