100112101103 has 16 divisors (see below), whose sum is σ = 116065198080. Its totient is φ = 84572678400.

The previous prime is 100112101073. The next prime is 100112101121. The reversal of 100112101103 is 301101211001.

It is a happy number.

It is not a de Polignac number, because 100112101103 - 2⁶ = 100112101039 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 (100112101163) 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, 1478258 + ... + 1544496.

It is an arithmetic number, because the mean of its divisors is an integer number (7254074880).

Almost surely, 2^100112101103 is an apocalyptic number.

100112101103 is a deficient number, since it is larger than the sum of its proper divisors (15953096977).

100112101103 is an equidigital number, since it uses as much as digits as its factorization.

100112101103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69358.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100112101103 its reverse (301101211001), we get a palindrome (401213312104).

The spelling of 100112101103 in words is "one hundred billion, one hundred twelve million, one hundred one thousand, one hundred three".