1011001101003 has 12 divisors (see below), whose sum is σ = 1460343809808. Its totient is φ = 673996632720.

The previous prime is 1011001100951. The next prime is 1011001101013. The reversal of 1011001101003 is 3001011001101.

It is not a de Polignac number, because 1011001101003 - 2⁹ = 1011001100491 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 (1011001101013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2269501 + ... + 2678177.

It is an arithmetic number, because the mean of its divisors is an integer number (121695317484).

Almost surely, 2^{1011001101003} is an apocalyptic number.

1011001101003 is a deficient number, since it is larger than the sum of its proper divisors (449342708805).

1011001101003 is a wasteful number, since it uses less digits than its factorization.

1011001101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683554 (or 683551 counting only the distinct ones).

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

Adding to 1011001101003 its reverse (3001011001101), we get a palindrome (4012012102104).

The spelling of 1011001101003 in words is "one trillion, eleven billion, one million, one hundred one thousand, three".