101010010001101 has 8 divisors (see below), whose sum is σ = 101135073499520. Its totient is φ = 100884954258288.

The previous prime is 101010010001083. The next prime is 101010010001119. The reversal of 101010010001101 is 101100010010101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101010010001083) and next prime (101010010001119).

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 101010010001101 - 2²⁵ = 101009976446669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010010001401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24345880 + ... + 28191166.

It is an arithmetic number, because the mean of its divisors is an integer number (12641884187440).

Almost surely, 2^{101010010001101} is an apocalyptic number.

It is an amenable number.

101010010001101 is a deficient number, since it is larger than the sum of its proper divisors (125063498419).

101010010001101 is an equidigital number, since it uses as much as digits as its factorization.

101010010001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877803.

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

Adding to 101010010001101 its reverse (101100010010101), we get a palindrome (202110020011202).

The spelling of 101010010001101 in words is "one hundred one trillion, ten billion, ten million, one thousand, one hundred one".