1001011100103 has 16 divisors (see below), whose sum is σ = 1694833608960. Its totient is φ = 572006342808.

The previous prime is 1001011100081. The next prime is 1001011100267. The reversal of 1001011100103 is 3010011101001.

1001011100103 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001011100103 - 2⁵ = 1001011100071 is a prime.

It is a super-2 number, since 2×1001011100103² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011500103) 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, 2648177325 + ... + 2648177702.

It is an arithmetic number, because the mean of its divisors is an integer number (105927100560).

Almost surely, 2^{1001011100103} is an apocalyptic number.

1001011100103 is a deficient number, since it is larger than the sum of its proper divisors (693822508857).

1001011100103 is an equidigital number, since it uses as much as digits as its factorization.

1001011100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296355043 (or 5296355037 counting only the distinct ones).

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

Adding to 1001011100103 its reverse (3010011101001), we get a palindrome (4011022201104).

The spelling of 1001011100103 in words is "one trillion, one billion, eleven million, one hundred thousand, one hundred three".