100100100101 has 4 divisors (see below), whose sum is σ = 100101032172. Its totient is φ = 100099168032.

The previous prime is 100100100059. The next prime is 100100100103. The reversal of 100100100101 is 101001001001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 94326379876 + 5773720225 = 307126^2 + 75985^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100100101 - 2¹⁴ = 100100083717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100103) 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 3 ways as a sum of consecutive naturals, for example, 280256 + ... + 527961.

It is an arithmetic number, because the mean of its divisors is an integer number (25025258043).

Almost surely, 2^100100100101 is an apocalyptic number.

It is an amenable number.

100100100101 is a deficient number, since it is larger than the sum of its proper divisors (932071).

100100100101 is an equidigital number, since it uses as much as digits as its factorization.

100100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932070.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100100101 its reverse (101001001001), we get a palindrome (201101101102).

The spelling of 100100100101 in words is "one hundred billion, one hundred million, one hundred thousand, one hundred one".