100101101010101 has 4 divisors (see below), whose sum is σ = 101092201020204. Its totient is φ = 99110001000000.

The previous prime is 100101101010073. The next prime is 100101101010199. The reversal of 100101101010101 is 101010101101001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 94543535222500 + 5557565787601 = 9723350^2 + 2357449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101101010101 is a prime.

It is a Duffinian number.

100101101010101 is a modest number, since divided by 1010101 gives 1001011 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101101010301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 495550004900 + ... + 495550005101.

It is an arithmetic number, because the mean of its divisors is an integer number (25273050255051).

Almost surely, 2^{100101101010101} is an apocalyptic number.

It is an amenable number.

100101101010101 is a deficient number, since it is larger than the sum of its proper divisors (991100010103).

100101101010101 is an equidigital number, since it uses as much as digits as its factorization.

100101101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991100010102.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101101010101 its reverse (101010101101001), we get a palindrome (201111202111102).

The spelling of 100101101010101 in words is "one hundred trillion, one hundred one billion, one hundred one million, ten thousand, one hundred one".