120100220113 has 2 divisors, whose sum is σ = 120100220114. Its totient is φ = 120100220112.

The previous prime is 120100220111. The next prime is 120100220153. The reversal of 120100220113 is 311022001021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116808099984 + 3292120129 = 341772^2 + 57377^2 .

It is a cyclic number.

It is not a de Polignac number, because 120100220113 - 2¹ = 120100220111 is a prime.

Together with 120100220111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 120100220093 and 120100220102.

It is not a weakly prime, because it can be changed into another prime (120100220111) 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 as a sum of consecutive naturals, namely, 60050110056 + 60050110057.

It is an arithmetic number, because the mean of its divisors is an integer number (60050110057).

Almost surely, 2^120100220113 is an apocalyptic number.

It is an amenable number.

120100220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

120100220113 is an equidigital number, since it uses as much as digits as its factorization.

120100220113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 120100220113 its reverse (311022001021), we get a palindrome (431122221134).

The spelling of 120100220113 in words is "one hundred twenty billion, one hundred million, two hundred twenty thousand, one hundred thirteen".