101011001011001 has 8 divisors (see below), whose sum is σ = 102015075539208. Its totient is φ = 100007004240000.

The previous prime is 101011001010979. The next prime is 101011001011007. The reversal of 101011001011001 is 100110100110101.

It can be written as a sum of positive squares in 4 ways, for example, as 64319197005625 + 36691804005376 = 8019925^2 + 6057376^2 .

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 101011001011001 - 2¹⁸ = 101011000748857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011001011001.

It is not an unprimeable number, because it can be changed into a prime (101011001011007) 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, 16826540 + ... + 22026221.

It is an arithmetic number, because the mean of its divisors is an integer number (12751884442401).

Almost surely, 2^{101011001011001} is an apocalyptic number.

It is an amenable number.

101011001011001 is a deficient number, since it is larger than the sum of its proper divisors (1004074528207).

101011001011001 is a wasteful number, since it uses less digits than its factorization.

101011001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38878603.

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

Adding to 101011001011001 its reverse (100110100110101), we get a palindrome (201121101121102).

The spelling of 101011001011001 in words is "one hundred one trillion, eleven billion, one million, eleven thousand, one".