10112100121103 has 2 divisors, whose sum is σ = 10112100121104. Its totient is φ = 10112100121102.

The previous prime is 10112100121099. The next prime is 10112100121117. The reversal of 10112100121103 is 30112100121101.

It is an a-pointer prime, because the next prime (10112100121117) can be obtained adding 10112100121103 to its sum of digits (14).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10112100121103 - 2² = 10112100121099 is a prime.

It is a super-2 number, since 2×10112100121103² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112100121603) 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, 5056050060551 + 5056050060552.

It is an arithmetic number, because the mean of its divisors is an integer number (5056050060552).

Almost surely, 2^{10112100121103} is an apocalyptic number.

10112100121103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112100121103 is an equidigital number, since it uses as much as digits as its factorization.

10112100121103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10112100121103 its reverse (30112100121101), we get a palindrome (40224200242204).

The spelling of 10112100121103 in words is "ten trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, one hundred three".