10211120022013 has 2 divisors, whose sum is σ = 10211120022014. Its totient is φ = 10211120022012.

The previous prime is 10211120021959. The next prime is 10211120022067. The reversal of 10211120022013 is 31022002111201.

It is a balanced prime because it is at equal distance from previous prime (10211120021959) and next prime (10211120022067).

It can be written as a sum of positive squares in only one way, i.e., 8956265260804 + 1254854761209 = 2992702^2 + 1120203^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211120022013 - 2¹⁷ = 10211119890941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211120022613) 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, 5105560011006 + 5105560011007.

It is an arithmetic number, because the mean of its divisors is an integer number (5105560011007).

Almost surely, 2^{10211120022013} is an apocalyptic number.

It is an amenable number.

10211120022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211120022013 is an equidigital number, since it uses as much as digits as its factorization.

10211120022013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10211120022013 its reverse (31022002111201), we get a palindrome (41233122133214).

The spelling of 10211120022013 in words is "ten trillion, two hundred eleven billion, one hundred twenty million, twenty-two thousand, thirteen".