1001000100103 has 2 divisors, whose sum is σ = 1001000100104. Its totient is φ = 1001000100102.

The previous prime is 1001000100077. The next prime is 1001000100151. The reversal of 1001000100103 is 3010010001001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1001000100103 - 2²¹ = 1000998002951 is a prime.

It is a super-2 number, since 2×1001000100103² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001000100173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500050051 + 500500050052.

It is an arithmetic number, because the mean of its divisors is an integer number (500500050052).

Almost surely, 2^{1001000100103} is an apocalyptic number.

1001000100103 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000100103 is an equidigital number, since it uses as much as digits as its factorization.

1001000100103 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 1001000100103 its reverse (3010010001001), we get a palindrome (4011010101104).

The spelling of 1001000100103 in words is "one trillion, one billion, one hundred thousand, one hundred three".