1000101010103 has 16 divisors (see below), whose sum is σ = 1090898094720. Its totient is φ = 911289809664.

The previous prime is 1000101010057. The next prime is 1000101010109. The reversal of 1000101010103 is 3010101010001.

It is not a de Polignac number, because 1000101010103 - 2⁶ = 1000101010039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101010109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4820825 + ... + 5023997.

It is an arithmetic number, because the mean of its divisors is an integer number (68181130920).

Almost surely, 2^{1000101010103} is an apocalyptic number.

1000101010103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1000101010103 is a deficient number, since it is larger than the sum of its proper divisors (90797084617).

1000101010103 is a wasteful number, since it uses less digits than its factorization.

1000101010103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208058.

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

Adding to 1000101010103 its reverse (3010101010001), we get a palindrome (4010202020104).

The spelling of 1000101010103 in words is "one trillion, one hundred one million, ten thousand, one hundred three".