100000001010101 has 8 divisors (see below), whose sum is σ = 100637920085400. Its totient is φ = 99362094294528.

The previous prime is 100000001010089. The next prime is 100000001010109. The reversal of 100000001010101 is 101010100000001.

It can be written as a sum of positive squares in 4 ways, for example, as 10702679535025 + 89297321475076 = 3271495^2 + 9449726^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100000001010101 is a prime.

It is a Duffinian number.

100000001010101 is a modest number, since divided by 1010101 gives 1000000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000001010109) 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 7 ways as a sum of consecutive naturals, for example, 13423865 + ... + 19498721.

It is an arithmetic number, because the mean of its divisors is an integer number (12579740010675).

Almost surely, 2^{100000001010101} is an apocalyptic number.

It is an amenable number.

100000001010101 is a deficient number, since it is larger than the sum of its proper divisors (637919075299).

100000001010101 is a wasteful number, since it uses less digits than its factorization.

100000001010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179863.

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

Adding to 100000001010101 its reverse (101010100000001), we get a palindrome (201010101010102).

The spelling of 100000001010101 in words is "one hundred trillion, one million, ten thousand, one hundred one".