101001010110001 has 8 divisors (see below), whose sum is σ = 104488286428800. Its totient is φ = 97514032649040.

The previous prime is 101001010109983. The next prime is 101001010110017. The reversal of 101001010110001 is 100011010100101.

It is a happy number.

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 101001010110001 - 2¹¹ = 101001010107953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001010110031) 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, 74026771 + ... + 75378808.

It is an arithmetic number, because the mean of its divisors is an integer number (13061035803600).

Almost surely, 2^{101001010110001} is an apocalyptic number.

It is an amenable number.

101001010110001 is a deficient number, since it is larger than the sum of its proper divisors (3487276318799).

101001010110001 is a wasteful number, since it uses less digits than its factorization.

101001010110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149428919.

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

Adding to 101001010110001 its reverse (100011010100101), we get a palindrome (201012020210102).

The spelling of 101001010110001 in words is "one hundred one trillion, one billion, ten million, one hundred ten thousand, one".