1100000100103 has 16 divisors (see below), whose sum is σ = 1125393776640. Its totient is φ = 1074690676800.

The previous prime is 1100000099977. The next prime is 1100000100127. The reversal of 1100000100103 is 3010010000011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100000100103 - 2¹⁷ = 1099999969031 is a prime.

It is a super-2 number, since 2×1100000100103² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100000100203) 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 in 15 ways as a sum of consecutive naturals, for example, 97244818 + ... + 97256128.

It is an arithmetic number, because the mean of its divisors is an integer number (70337111040).

Almost surely, 2^{1100000100103} is an apocalyptic number.

1100000100103 is a deficient number, since it is larger than the sum of its proper divisors (25393676537).

1100000100103 is a wasteful number, since it uses less digits than its factorization.

1100000100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14838.

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

Adding to 1100000100103 its reverse (3010010000011), we get a palindrome (4110010100114).

The spelling of 1100000100103 in words is "one trillion, one hundred billion, one hundred thousand, one hundred three".