101001000101001 has 256 divisors, whose sum is σ = 192532244889600. Its totient is φ = 45354708172800.

The previous prime is 101001000100991. The next prime is 101001000101041. The reversal of 101001000101001 is 100101000100101.

It is not a de Polignac number, because 101001000101001 - 2¹⁰ = 101001000099977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001000101041) 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 255 ways as a sum of consecutive naturals, for example, 1920911730 + ... + 1920964308.

It is an arithmetic number, because the mean of its divisors is an integer number (752079081600).

Almost surely, 2^{101001000101001} is an apocalyptic number.

101001000101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001000101001 is a deficient number, since it is larger than the sum of its proper divisors (91531244788599).

101001000101001 is a wasteful number, since it uses less digits than its factorization.

101001000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53020.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101001000101001 its reverse (100101000100101), we get a palindrome (201102000201102).

The spelling of 101001000101001 in words is "one hundred one trillion, one billion, one hundred one thousand, one".