100110202112103 has 64 divisors (see below), whose sum is σ = 142364467150848. Its totient is φ = 62356853166080.

The previous prime is 100110202112101. The next prime is 100110202112111. The reversal of 100110202112103 is 301211202011001.

It is not a de Polignac number, because 100110202112103 - 2¹ = 100110202112101 is a prime.

It is a super-2 number, since 2×100110202112103² (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 (100110202112101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20527002301 + ... + 20527007177.

It is an arithmetic number, because the mean of its divisors is an integer number (2224444799232).

Almost surely, 2^{100110202112103} is an apocalyptic number.

100110202112103 is a deficient number, since it is larger than the sum of its proper divisors (42254265038745).

100110202112103 is a wasteful number, since it uses less digits than its factorization.

100110202112103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8992.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100110202112103 its reverse (301211202011001), we get a palindrome (401321404123104).

The spelling of 100110202112103 in words is "one hundred trillion, one hundred ten billion, two hundred two million, one hundred twelve thousand, one hundred three".