1001100100103 has 16 divisors (see below), whose sum is σ = 1037748922080. Its totient is φ = 964594262016.

The previous prime is 1001100100097. The next prime is 1001100100123. The reversal of 1001100100103 is 3010010011001.

It is not a de Polignac number, because 1001100100103 - 2¹⁴ = 1001100083719 is a prime.

It is a super-2 number, since 2×1001100100103² (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 (1001100100123) 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, 65368175 + ... + 65383487.

It is an arithmetic number, because the mean of its divisors is an integer number (64859307630).

Almost surely, 2^{1001100100103} is an apocalyptic number.

1001100100103 is a deficient number, since it is larger than the sum of its proper divisors (36648821977).

1001100100103 is a wasteful number, since it uses less digits than its factorization.

1001100100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19826.

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

Adding to 1001100100103 its reverse (3010010011001), we get a palindrome (4011110111104).

The spelling of 1001100100103 in words is "one trillion, one billion, one hundred million, one hundred thousand, one hundred three".