100110202110001 has 8 divisors (see below), whose sum is σ = 101401396395624. Its totient is φ = 98824890259200.

The previous prime is 100110202109999. The next prime is 100110202110007. The reversal of 100110202110001 is 100011202011001.

It can be written as a sum of positive squares in 4 ways, for example, as 36837325029376 + 63272877080625 = 6069376^2 + 7954425^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100110202110001 - 2¹ = 100110202109999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100110202110001.

It is not an unprimeable number, because it can be changed into a prime (100110202110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470574450 + ... + 1470642523.

It is an arithmetic number, because the mean of its divisors is an integer number (12675174549453).

Almost surely, 2^{100110202110001} is an apocalyptic number.

It is an amenable number.

100110202110001 is a deficient number, since it is larger than the sum of its proper divisors (1291194285623).

100110202110001 is a wasteful number, since it uses less digits than its factorization.

100110202110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941217411.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110202110001 its reverse (100011202011001), we get a palindrome (200121404121002).

The spelling of 100110202110001 in words is "one hundred trillion, one hundred ten billion, two hundred two million, one hundred ten thousand, one".