100201101001 has 4 divisors (see below), whose sum is σ = 100202460100. Its totient is φ = 100199741904.

The previous prime is 100201100999. The next prime is 100201101037. The reversal of 100201101001 is 100101102001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100101102001 = 33191 ⋅3015911.

It can be written as a sum of positive squares in 2 ways, for example, as 90300851001 + 9900250000 = 300501^2 + 99500^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201101001 - 2¹ = 100201100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201101071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 562206 + ... + 718663.

It is an arithmetic number, because the mean of its divisors is an integer number (25050615025).

Almost surely, 2^100201101001 is an apocalyptic number.

It is an amenable number.

100201101001 is a deficient number, since it is larger than the sum of its proper divisors (1359099).

100201101001 is an equidigital number, since it uses as much as digits as its factorization.

100201101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359098.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100201101001 its reverse (100101102001), we get a palindrome (200302203002).

The spelling of 100201101001 in words is "one hundred billion, two hundred one million, one hundred one thousand, one".