10120212111221 has 12 divisors (see below), whose sum is σ = 10646736665292. Its totient is φ = 9618545466816.

The previous prime is 10120212111181. The next prime is 10120212111223. The reversal of 10120212111221 is 12211121202101.

It can be written as a sum of positive squares in 2 ways, for example, as 4652588604196 + 5467623507025 = 2156986^2 + 2338295^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10120212111221 is a prime.

It is a super-2 number, since 2×10120212111221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10120212111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120212111223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60843176 + ... + 61009281.

It is an arithmetic number, because the mean of its divisors is an integer number (887228055441).

Almost surely, 2^{10120212111221} is an apocalyptic number.

It is an amenable number.

10120212111221 is a deficient number, since it is larger than the sum of its proper divisors (526524554071).

10120212111221 is a wasteful number, since it uses less digits than its factorization.

10120212111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121852660 (or 121852637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10120212111221 its reverse (12211121202101), we get a palindrome (22331333313322).

The spelling of 10120212111221 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty-one".