101000110001001 has 8 divisors (see below), whose sum is σ = 136055130998304. Its totient is φ = 66639247835520.

The previous prime is 101000110000987. The next prime is 101000110001023. The reversal of 101000110001001 is 100100011000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101000110001001 - 2¹⁹ = 101000109476713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000110006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173539707615 + ... + 173539708196.

It is an arithmetic number, because the mean of its divisors is an integer number (17006891374788).

Almost surely, 2^{101000110001001} is an apocalyptic number.

It is an amenable number.

101000110001001 is a deficient number, since it is larger than the sum of its proper divisors (35055020997303).

101000110001001 is an equidigital number, since it uses as much as digits as its factorization.

101000110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347079415911.

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

Adding to 101000110001001 its reverse (100100011000101), we get a palindrome (201100121001102).

It can be divided in two parts, 10100011000100 and 1, that added together give a palindrome (10100011000101).

The spelling of 101000110001001 in words is "one hundred one trillion, one hundred ten million, one thousand, one".