101011001101001 has 8 divisors (see below), whose sum is σ = 101211285086280. Its totient is φ = 100810896988032.

The previous prime is 101011001100991. The next prime is 101011001101103. The reversal of 101011001101001 is 100101100110101.

It can be written as a sum of positive squares in 4 ways, for example, as 46344792905401 + 54666208195600 = 6807701^2 + 7393660^2 .

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 101011001101001 - 2¹⁰ = 101011001099977 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 101011001101001.

It is not an unprimeable number, because it can be changed into a prime (101011001901001) 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, 43843796 + ... + 46090133.

It is an arithmetic number, because the mean of its divisors is an integer number (12651410635785).

Almost surely, 2^{101011001101001} is an apocalyptic number.

It is an amenable number.

101011001101001 is a deficient number, since it is larger than the sum of its proper divisors (200283985279).

101011001101001 is an equidigital number, since it uses as much as digits as its factorization.

101011001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89936155.

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

Adding to 101011001101001 its reverse (100101100110101), we get a palindrome (201112101211102).

It can be divided in two parts, 10101100110100 and 1, that added together give a palindrome (10101100110101).

The spelling of 101011001101001 in words is "one hundred one trillion, eleven billion, one million, one hundred one thousand, one".