10120220200213 has 2 divisors, whose sum is σ = 10120220200214. Its totient is φ = 10120220200212.

The previous prime is 10120220200199. The next prime is 10120220200243. The reversal of 10120220200213 is 31200202202101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7015495147684 + 3104725052529 = 2648678^2 + 1762023^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10120220200213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120220200243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060110100106 + 5060110100107.

It is an arithmetic number, because the mean of its divisors is an integer number (5060110100107).

Almost surely, 2^{10120220200213} is an apocalyptic number.

It is an amenable number.

10120220200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120220200213 is an equidigital number, since it uses as much as digits as its factorization.

10120220200213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10120220200213 its reverse (31200202202101), we get a palindrome (41320422402314).

The spelling of 10120220200213 in words is "ten trillion, one hundred twenty billion, two hundred twenty million, two hundred thousand, two hundred thirteen".