130221121100121 has 24 divisors (see below), whose sum is σ = 193230760695336. Its totient is φ = 84456730152960.

The previous prime is 130221121100113. The next prime is 130221121100129. The reversal of 130221121100121 is 121001121122031.

It is a happy number.

130221121100121 is a `hidden beast` number, since 1 + 302 + 21 + 121 + 100 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (130221121100113) and next prime (130221121100129).

It can be written as a sum of positive squares in 4 ways, for example, as 3493867517721 + 126727253582400 = 1869189^2 + 11257320^2 .

It is not a de Polignac number, because 130221121100121 - 2³ = 130221121100113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130221121100094 and 130221121100103.

It is not an unprimeable number, because it can be changed into a prime (130221121100129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499732020 + ... + 499992533.

It is an arithmetic number, because the mean of its divisors is an integer number (8051281695639).

Almost surely, 2^{130221121100121} is an apocalyptic number.

It is an amenable number.

130221121100121 is a deficient number, since it is larger than the sum of its proper divisors (63009639595215).

130221121100121 is a wasteful number, since it uses less digits than its factorization.

130221121100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999724953 (or 999724950 counting only the distinct ones).

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

Adding to 130221121100121 its reverse (121001121122031), we get a palindrome (251222242222152).

The spelling of 130221121100121 in words is "one hundred thirty trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, one hundred twenty-one".