10121100022003 has 2 divisors, whose sum is σ = 10121100022004. Its totient is φ = 10121100022002.

The previous prime is 10121100022001. The next prime is 10121100022057. The reversal of 10121100022003 is 30022000112101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10121100022003 - 2¹ = 10121100022001 is a prime.

Together with 10121100022001, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10121100022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060550011001 + 5060550011002.

It is an arithmetic number, because the mean of its divisors is an integer number (5060550011002).

Almost surely, 2^{10121100022003} is an apocalyptic number.

10121100022003 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121100022003 is an equidigital number, since it uses as much as digits as its factorization.

10121100022003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10121100022003 its reverse (30022000112101), we get a palindrome (40143100134104).

The spelling of 10121100022003 in words is "ten trillion, one hundred twenty-one billion, one hundred million, twenty-two thousand, three".