100110001010101 has 8 divisors (see below), whose sum is σ = 100291322277144. Its totient is φ = 99928685445120.

The previous prime is 100110001010029. The next prime is 100110001010167. The reversal of 100110001010101 is 101010100011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13587001463025 + 86522999547076 = 3686055^2 + 9301774^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100110001010101 - 2¹⁷ = 100110000879029 is a prime.

It is a Duffinian number.

100110001010101 is a modest number, since divided by 1010101 gives 1001100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110001011101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34540761 + ... + 37326721.

It is an arithmetic number, because the mean of its divisors is an integer number (12536415284643).

Almost surely, 2^{100110001010101} is an apocalyptic number.

It is an amenable number.

100110001010101 is a deficient number, since it is larger than the sum of its proper divisors (181321267043).

100110001010101 is an equidigital number, since it uses as much as digits as its factorization.

100110001010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851031.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110001010101 its reverse (101010100011001), we get a palindrome (201120101021102).

The spelling of 100110001010101 in words is "one hundred trillion, one hundred ten billion, one million, ten thousand, one hundred one".