100010101103 has 8 divisors (see below), whose sum is σ = 109104216960. Its totient is φ = 90916366680.

The previous prime is 100010101063. The next prime is 100010101153. The reversal of 100010101103 is 301101010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100010101103 - 2¹⁰ = 100010100079 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 (100010101153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 994238 + ... + 1090196.

It is an arithmetic number, because the mean of its divisors is an integer number (13638027120).

Almost surely, 2^100010101103 is an apocalyptic number.

100010101103 is a deficient number, since it is larger than the sum of its proper divisors (9094115857).

100010101103 is an equidigital number, since it uses as much as digits as its factorization.

100010101103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190717.

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

Adding to 100010101103 its reverse (301101010001), we get a palindrome (401111111104).

The spelling of 100010101103 in words is "one hundred billion, ten million, one hundred one thousand, one hundred three".