10121202211013 has 2 divisors, whose sum is σ = 10121202211014. Its totient is φ = 10121202211012.

The previous prime is 10121202210947. The next prime is 10121202211019. The reversal of 10121202211013 is 31011220212101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9432994257124 + 688207953889 = 3071318^2 + 829583^2 .

It is an emirp because it is prime and its reverse (31011220212101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121202211013 - 2¹⁴ = 10121202194629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121202210982 and 10121202211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121202211019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060601105506 + 5060601105507.

It is an arithmetic number, because the mean of its divisors is an integer number (5060601105507).

Almost surely, 2^{10121202211013} is an apocalyptic number.

It is an amenable number.

10121202211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121202211013 is an equidigital number, since it uses as much as digits as its factorization.

10121202211013 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 17.

Adding to 10121202211013 its reverse (31011220212101), we get a palindrome (41132422423114).

The spelling of 10121202211013 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, two hundred eleven thousand, thirteen".