10212101110120 has 128 divisors (see below), whose sum is σ = 28404246931200. Its totient is φ = 3217723693056.

The previous prime is 10212101110063. The next prime is 10212101110121. The reversal of 10212101110120 is 2101110121201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10212101110120.

It is not an unprimeable number, because it can be changed into a prime (10212101110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5353285 + ... + 7005844.

It is an arithmetic number, because the mean of its divisors is an integer number (221908179150).

Almost surely, 2^{10212101110120} is an apocalyptic number.

10212101110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212101110120 is an abundant number, since it is smaller than the sum of its proper divisors (18192145821080).

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

10212101110120 is a wasteful number, since it uses less digits than its factorization.

10212101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12359387 (or 12359383 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10212101110120 its reverse (2101110121201), we get a palindrome (12313211231321).

The spelling of 10212101110120 in words is "ten trillion, two hundred twelve billion, one hundred one million, one hundred ten thousand, one hundred twenty".