1001100101003 has 16 divisors (see below), whose sum is σ = 1043231114880. Its totient is φ = 959891726976.

The previous prime is 1001100100991. The next prime is 1001100101011. The reversal of 1001100101003 is 3001010011001.

1001100101003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001100101003 - 2¹² = 1001100096907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001100107003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389593 + ... + 1983221.

It is an arithmetic number, because the mean of its divisors is an integer number (65201944680).

Almost surely, 2^{1001100101003} is an apocalyptic number.

1001100101003 is a deficient number, since it is larger than the sum of its proper divisors (42131013877).

1001100101003 is an equidigital number, since it uses as much as digits as its factorization.

1001100101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594406.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 1001100101003 its reverse (3001010011001), we get a palindrome (4002110112004).

The spelling of 1001100101003 in words is "one trillion, one billion, one hundred million, one hundred one thousand, three".