1001101010103 has 8 divisors (see below), whose sum is σ = 1483112607600. Its totient is φ = 667400673384.

The previous prime is 1001101010069. The next prime is 1001101010111. The reversal of 1001101010103 is 3010101011001.

It is not a de Polignac number, because 1001101010103 - 2¹⁴ = 1001100993719 is a prime.

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 (1001101010153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18538907568 + ... + 18538907621.

It is an arithmetic number, because the mean of its divisors is an integer number (185389075950).

Almost surely, 2^{1001101010103} is an apocalyptic number.

1001101010103 is a deficient number, since it is larger than the sum of its proper divisors (482011597497).

1001101010103 is an equidigital number, since it uses as much as digits as its factorization.

1001101010103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37077815198 (or 37077815192 counting only the distinct ones).

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

Adding to 1001101010103 its reverse (3010101011001), we get a palindrome (4011202021104).

The spelling of 1001101010103 in words is "one trillion, one billion, one hundred one million, ten thousand, one hundred three".