130200122011221 has 24 divisors (see below), whose sum is σ = 192656323019160. Its totient is φ = 84681914342400.

The previous prime is 130200122011187. The next prime is 130200122011327. The reversal of 130200122011221 is 122110221002031.

130200122011221 is a `hidden beast` number, since 1 + 30 + 200 + 12 + 201 + 1 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47709950603121 + 82490171408100 = 6907239^2 + 9082410^2 .

It is not a de Polignac number, because 130200122011221 - 2⁴¹ = 128001098755669 is a prime.

It is a super-3 number, since 3×130200122011221³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130200122011194 and 130200122011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130200122001221) 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 23 ways as a sum of consecutive naturals, for example, 26889591 + ... + 31360011.

It is an arithmetic number, because the mean of its divisors is an integer number (8027346792465).

Almost surely, 2^{130200122011221} is an apocalyptic number.

It is an amenable number.

130200122011221 is a deficient number, since it is larger than the sum of its proper divisors (62456201007939).

130200122011221 is a wasteful number, since it uses less digits than its factorization.

130200122011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549397 (or 4549394 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 130200122011221 its reverse (122110221002031), we get a palindrome (252310343013252).

The spelling of 130200122011221 in words is "one hundred thirty trillion, two hundred billion, one hundred twenty-two million, eleven thousand, two hundred twenty-one".