10212110120120 has 32 divisors (see below), whose sum is σ = 23769566661600. Its totient is φ = 3943987356288.

The previous prime is 10212110120087. The next prime is 10212110120129. The reversal of 10212110120120 is 2102101121201.

It is a super-3 number, since 3×10212110120120³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10212110120095 and 10212110120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212110120129) 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 7 ways as a sum of consecutive naturals, for example, 4401770444 + ... + 4401772763.

It is an arithmetic number, because the mean of its divisors is an integer number (742798958175).

Almost surely, 2^{10212110120120} is an apocalyptic number.

10212110120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212110120120 is an abundant number, since it is smaller than the sum of its proper divisors (13557456541480).

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

10212110120120 is a wasteful number, since it uses less digits than its factorization.

10212110120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803543247 (or 8803543243 counting only the distinct ones).

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

Adding to 10212110120120 its reverse (2102101121201), we get a palindrome (12314211241321).

The spelling of 10212110120120 in words is "ten trillion, two hundred twelve billion, one hundred ten million, one hundred twenty thousand, one hundred twenty".