100100010100103 has 16 divisors (see below), whose sum is σ = 109919849195520. Its totient is φ = 90585731268864.

The previous prime is 100100010100093. The next prime is 100100010100109. The reversal of 100100010100103 is 301001010001001.

It is not a de Polignac number, because 100100010100103 - 2⁴ = 100100010100087 is a prime.

It is a super-2 number, since 2×100100010100103² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100010100109) 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, 55914326 + ... + 57676787.

It is an arithmetic number, because the mean of its divisors is an integer number (6869990574720).

Almost surely, 2^{100100010100103} is an apocalyptic number.

100100010100103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100100010100103 is a deficient number, since it is larger than the sum of its proper divisors (9819839095417).

100100010100103 is a wasteful number, since it uses less digits than its factorization.

100100010100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113592458.

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

Adding to 100100010100103 its reverse (301001010001001), we get a palindrome (401101020101104).

The spelling of 100100010100103 in words is "one hundred trillion, one hundred billion, ten million, one hundred thousand, one hundred three".