120021110211213 has 48 divisors (see below), whose sum is σ = 184324094712576. Its totient is φ = 77997069192960.

The previous prime is 120021110211193. The next prime is 120021110211239. The reversal of 120021110211213 is 312112011120021.

It is a happy number.

120021110211213 is a `hidden beast` number, since 1 + 20 + 0 + 211 + 10 + 211 + 213 = 666.

It is not a de Polignac number, because 120021110211213 - 2¹⁴ = 120021110194829 is a prime.

It is a super-3 number, since 3×120021110211213³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021110210213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6836956 + ... + 16934762.

It is an arithmetic number, because the mean of its divisors is an integer number (3840085306512).

Almost surely, 2^{120021110211213} is an apocalyptic number.

It is an amenable number.

120021110211213 is a deficient number, since it is larger than the sum of its proper divisors (64302984501363).

120021110211213 is a wasteful number, since it uses less digits than its factorization.

120021110211213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099056 (or 10099044 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 120021110211213 its reverse (312112011120021), we get a palindrome (432133121331234).

The spelling of 120021110211213 in words is "one hundred twenty trillion, twenty-one billion, one hundred ten million, two hundred eleven thousand, two hundred thirteen".