10010100100103 has 2 divisors, whose sum is σ = 10010100100104. Its totient is φ = 10010100100102.

The previous prime is 10010100100087. The next prime is 10010100100111. The reversal of 10010100100103 is 30100100101001.

It is an a-pointer prime, because the next prime (10010100100111) can be obtained adding 10010100100103 to its sum of digits (8).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10010100100103 - 2⁴ = 10010100100087 is a prime.

It is a super-2 number, since 2×10010100100103² (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 (10010100100603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050050051 + 5005050050052.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050050052).

Almost surely, 2^{10010100100103} is an apocalyptic number.

10010100100103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100100103 is an equidigital number, since it uses as much as digits as its factorization.

10010100100103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10010100100103 its reverse (30100100101001), we get a palindrome (40110200201104).

The spelling of 10010100100103 in words is "ten trillion, ten billion, one hundred million, one hundred thousand, one hundred three".