10120131211221 has 6 divisors (see below), whose sum is σ = 14617967305110. Its totient is φ = 6746754140808.

The previous prime is 10120131211207. The next prime is 10120131211279. The reversal of 10120131211221 is 12211213102101.

It is a happy number.

10120131211221 is a `hidden beast` number, since 1 + 0 + 1 + 201 + 31 + 211 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9819536700996 + 300594510225 = 3133614^2 + 548265^2 .

It is not a de Polignac number, because 10120131211221 - 2¹⁰ = 10120131210197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120131211194 and 10120131211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120131211321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562229511726 + ... + 562229511743.

It is an arithmetic number, because the mean of its divisors is an integer number (2436327884185).

Almost surely, 2^{10120131211221} is an apocalyptic number.

It is an amenable number.

10120131211221 is a deficient number, since it is larger than the sum of its proper divisors (4497836093889).

10120131211221 is a wasteful number, since it uses less digits than its factorization.

10120131211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124459023475 (or 1124459023472 counting only the distinct ones).

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

Adding to 10120131211221 its reverse (12211213102101), we get a palindrome (22331344313322).

The spelling of 10120131211221 in words is "ten trillion, one hundred twenty billion, one hundred thirty-one million, two hundred eleven thousand, two hundred twenty-one".