101011100101001 has 16 divisors (see below), whose sum is σ = 102434330434128. Its totient is φ = 99595793203200.

The previous prime is 101011100100991. The next prime is 101011100101061. The reversal of 101011100101001 is 100101001110101.

It can be written as a sum of positive squares in 8 ways, for example, as 23654440000 + 100987445661001 = 153800^2 + 10049251^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011100101001 - 2¹⁰ = 101011100099977 is a prime.

It is a super-2 number, since 2×101011100101001² (a number of 29 digits) contains 22 as substring.

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 101011100101001.

It is not an unprimeable number, because it can be changed into a prime (101011100101061) 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 15 ways as a sum of consecutive naturals, for example, 150150281 + ... + 150821513.

It is an arithmetic number, because the mean of its divisors is an integer number (6402145652133).

Almost surely, 2^{101011100101001} is an apocalyptic number.

It is an amenable number.

101011100101001 is a deficient number, since it is larger than the sum of its proper divisors (1423230333127).

101011100101001 is an equidigital number, since it uses as much as digits as its factorization.

101011100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677132.

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

Adding to 101011100101001 its reverse (100101001110101), we get a palindrome (201112101211102).

The spelling of 101011100101001 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred one thousand, one".