100010001000103 has 2 divisors, whose sum is σ = 100010001000104. Its totient is φ = 100010001000102.

The previous prime is 100010001000023. The next prime is 100010001000131. The reversal of 100010001000103 is 301000100010001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100010001000103 - 2⁴⁵ = 64825628911271 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010001004103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005000500051 + 50005000500052.

It is an arithmetic number, because the mean of its divisors is an integer number (50005000500052).

Almost surely, 2^{100010001000103} is an apocalyptic number.

100010001000103 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010001000103 is an equidigital number, since it uses as much as digits as its factorization.

100010001000103 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 100010001000103 its reverse (301000100010001), we get a palindrome (401010101010104).

The spelling of 100010001000103 in words is "one hundred trillion, ten billion, one million, one hundred three", and thus it is an aban number.