100110202112105 has 64 divisors (see below), whose sum is σ = 132912710811648. Its totient is φ = 72122393882880.

The previous prime is 100110202112101. The next prime is 100110202112111. The reversal of 100110202112105 is 501211202011001.

It is not a de Polignac number, because 100110202112105 - 2² = 100110202112101 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110202112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1188026204 + ... + 1188110466.

It is an arithmetic number, because the mean of its divisors is an integer number (2076761106432).

Almost surely, 2^{100110202112105} is an apocalyptic number.

It is an amenable number.

100110202112105 is a deficient number, since it is larger than the sum of its proper divisors (32802508699543).

100110202112105 is a wasteful number, since it uses less digits than its factorization.

100110202112105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93366.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 100110202112105 its reverse (501211202011001), we get a palindrome (601321404123106).

The spelling of 100110202112105 in words is "one hundred trillion, one hundred ten billion, two hundred two million, one hundred twelve thousand, one hundred five".