100001110110100 has 72 divisors (see below), whose sum is σ = 222306384090168. Its totient is φ = 39022851379200.

The previous prime is 100001110110089. The next prime is 100001110110163. The reversal of 100001110110100 is 1011011100001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 85131402382224 + 14869707727876 = 9226668^2 + 3856126^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81873484 + ... + 83085916.

It is an arithmetic number, because the mean of its divisors is an integer number (3087588667919).

Almost surely, 2^{100001110110100} is an apocalyptic number.

100001110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001110110100 is an abundant number, since it is smaller than the sum of its proper divisors (122305273980068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001110110100 is a wasteful number, since it uses less digits than its factorization.

100001110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232605 (or 1232598 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100001110110100 its reverse (1011011100001), we get a palindrome (101012121210101).

The spelling of 100001110110100 in words is "one hundred trillion, one billion, one hundred ten million, one hundred ten thousand, one hundred".