100102101101103 has 16 divisors (see below), whose sum is σ = 134152830589536. Its totient is φ = 66393082398720.

The previous prime is 100102101101071. The next prime is 100102101101137. The reversal of 100102101101103 is 301101101201001.

It is not a de Polignac number, because 100102101101103 - 2⁵ = 100102101101071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102101101173) 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, 9905623 + ... + 17272103.

It is an arithmetic number, because the mean of its divisors is an integer number (8384551911846).

Almost surely, 2^{100102101101103} is an apocalyptic number.

100102101101103 is a deficient number, since it is larger than the sum of its proper divisors (34050729488433).

100102101101103 is a wasteful number, since it uses less digits than its factorization.

100102101101103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389674.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100102101101103 its reverse (301101101201001), we get a palindrome (401203202302104).

The spelling of 100102101101103 in words is "one hundred trillion, one hundred two billion, one hundred one million, one hundred one thousand, one hundred three".