10100100121103 has 2 divisors, whose sum is σ = 10100100121104. Its totient is φ = 10100100121102.

The previous prime is 10100100121049. The next prime is 10100100121121. The reversal of 10100100121103 is 30112100100101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100100121103 - 2¹⁰ = 10100100120079 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100121123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050060551 + 5050050060552.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050060552).

Almost surely, 2^{10100100121103} is an apocalyptic number.

10100100121103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100121103 is an equidigital number, since it uses as much as digits as its factorization.

10100100121103 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 11.

Adding to 10100100121103 its reverse (30112100100101), we get a palindrome (40212200221204).

The spelling of 10100100121103 in words is "ten trillion, one hundred billion, one hundred million, one hundred twenty-one thousand, one hundred three".