1101100101003 has 24 divisors (see below), whose sum is σ = 1817716582656. Its totient is φ = 629190529200.

The previous prime is 1101100100987. The next prime is 1101100101019. The reversal of 1101100101003 is 3001010011011.

It is an interprime number because it is at equal distance from previous prime (1101100100987) and next prime (1101100101019).

It is not a de Polignac number, because 1101100101003 - 2⁴ = 1101100100987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1101100106003) 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 23 ways as a sum of consecutive naturals, for example, 7888408 + ... + 8026778.

It is an arithmetic number, because the mean of its divisors is an integer number (75738190944).

Almost surely, 2^{1101100101003} is an apocalyptic number.

1101100101003 is a deficient number, since it is larger than the sum of its proper divisors (716616481653).

1101100101003 is a wasteful number, since it uses less digits than its factorization.

1101100101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264695 (or 264692 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1101100101003 its reverse (3001010011011), we get a palindrome (4102110112014).

The spelling of 1101100101003 in words is "one trillion, one hundred one billion, one hundred million, one hundred one thousand, three".