10121001100013 has 2 divisors, whose sum is σ = 10121001100014. Its totient is φ = 10121001100012.

The previous prime is 10121001100003. The next prime is 10121001100031. The reversal of 10121001100013 is 31000110012101.

It is a happy number.

Together with next prime (10121001100031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6419544477124 + 3701456622889 = 2533682^2 + 1923917^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121001100013 - 2¹⁶ = 10121001034477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121001099967 and 10121001100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121001100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060500550006 + 5060500550007.

It is an arithmetic number, because the mean of its divisors is an integer number (5060500550007).

Almost surely, 2^{10121001100013} is an apocalyptic number.

It is an amenable number.

10121001100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121001100013 is an equidigital number, since it uses as much as digits as its factorization.

10121001100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10121001100013 its reverse (31000110012101), we get a palindrome (41121111112114).

The spelling of 10121001100013 in words is "ten trillion, one hundred twenty-one billion, one million, one hundred thousand, thirteen".