10120212101120 has 192 divisors, whose sum is σ = 26535387715200. Its totient is φ = 3673783828480.

The previous prime is 10120212101089. The next prime is 10120212101159. The reversal of 10120212101120 is 2110121202101.

It is a junction number, because it is equal to n+sod(n) for n = 10120212101095 and 10120212101104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66043151 + ... + 66196209.

It is an arithmetic number, because the mean of its divisors is an integer number (138205144350).

Almost surely, 2^{10120212101120} is an apocalyptic number.

10120212101120 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 10120212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267693857600).

10120212101120 is an abundant number, since it is smaller than the sum of its proper divisors (16415175614080).

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

10120212101120 is a wasteful number, since it uses less digits than its factorization.

10120212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153684 (or 153664 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120212101120 its reverse (2110121202101), we get a palindrome (12230333303221).

The spelling of 10120212101120 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, one hundred one thousand, one hundred twenty".