100110201110001 has 6 divisors (see below), whose sum is σ = 144603623825570. Its totient is φ = 66740134073328.

The previous prime is 100110201109957. The next prime is 100110201110111. The reversal of 100110201110001 is 100011102011001.

It can be written as a sum of positive squares in only one way, i.e., 52552640462400 + 47557560647601 = 7249320^2 + 6896199^2 .

It is not a de Polignac number, because 100110201110001 - 2¹⁰ = 100110201108977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11123355678889 = 100110201110001 / (1 + 0 + 0 + 1 + 1 + 0 + 2 + 0 + 1 + 1 + 1 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110201110201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561677839436 + ... + 5561677839453.

Almost surely, 2^{100110201110001} is an apocalyptic number.

It is an amenable number.

100110201110001 is a deficient number, since it is larger than the sum of its proper divisors (44493422715569).

100110201110001 is a wasteful number, since it uses less digits than its factorization.

100110201110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123355678895 (or 11123355678892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110201110001 its reverse (100011102011001), we get a palindrome (200121303121002).

The spelling of 100110201110001 in words is "one hundred trillion, one hundred ten billion, two hundred one million, one hundred ten thousand, one".