10121001100003 has 2 divisors, whose sum is σ = 10121001100004. Its totient is φ = 10121001100002.

The previous prime is 10121001099931. The next prime is 10121001100013. The reversal of 10121001100003 is 30000110012101.

It is an a-pointer prime, because the next prime (10121001100013) can be obtained adding 10121001100003 to its sum of digits (10).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121001100003 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121001100013) 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, 5060500550001 + 5060500550002.

It is an arithmetic number, because the mean of its divisors is an integer number (5060500550002).

Almost surely, 2^{10121001100003} is an apocalyptic number.

10121001100003 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121001100003 is an equidigital number, since it uses as much as digits as its factorization.

10121001100003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10121001100003 its reverse (30000110012101), we get a palindrome (40121111112104).

The spelling of 10121001100003 in words is "ten trillion, one hundred twenty-one billion, one million, one hundred thousand, three".