10121112202013 has 2 divisors, whose sum is σ = 10121112202014. Its totient is φ = 10121112202012.

The previous prime is 10121112201923. The next prime is 10121112202021. The reversal of 10121112202013 is 31020221112101.

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., 10051100100409 + 70012101604 = 3170347^2 + 264598^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121112202013 - 2⁸ = 10121112201757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121112201982 and 10121112202000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121112205013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060556101006 + 5060556101007.

It is an arithmetic number, because the mean of its divisors is an integer number (5060556101007).

Almost surely, 2^{10121112202013} is an apocalyptic number.

It is an amenable number.

10121112202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121112202013 is an equidigital number, since it uses as much as digits as its factorization.

10121112202013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10121112202013 its reverse (31020221112101), we get a palindrome (41141333314114).

The spelling of 10121112202013 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, two hundred two thousand, thirteen".