1001001100103 has 8 divisors (see below), whose sum is σ = 1046497423200. Its totient is φ = 957479301504.

The previous prime is 1001001100087. The next prime is 1001001100123. The reversal of 1001001100103 is 3010011001001.

It is not a de Polignac number, because 1001001100103 - 2⁴ = 1001001100087 is a prime.

It is a super-2 number, since 2×1001001100103² (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 (1001001100123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41123738 + ... + 41148071.

It is an arithmetic number, because the mean of its divisors is an integer number (130812177900).

Almost surely, 2^{1001001100103} is an apocalyptic number.

1001001100103 is a deficient number, since it is larger than the sum of its proper divisors (45496323097).

1001001100103 is an frugal number, since it uses more digits than its factorization.

1001001100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82271878 (or 82271832 counting only the distinct ones).

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

Adding to 1001001100103 its reverse (3010011001001), we get a palindrome (4011012101104).

The spelling of 1001001100103 in words is "one trillion, one billion, one million, one hundred thousand, one hundred three".