100011010001001 has 8 divisors (see below), whose sum is σ = 145470560001504. Its totient is φ = 60612733333920.

The previous prime is 100011010000999. The next prime is 100011010001027. The reversal of 100011010001001 is 100100010110001.

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

It is not a de Polignac number, because 100011010001001 - 2¹ = 100011010000999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100011010001701) 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 7 ways as a sum of consecutive naturals, for example, 1515318333316 + ... + 1515318333381.

It is an arithmetic number, because the mean of its divisors is an integer number (18183820000188).

Almost surely, 2^{100011010001001} is an apocalyptic number.

100011010001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011010001001 is a deficient number, since it is larger than the sum of its proper divisors (45459550000503).

100011010001001 is a wasteful number, since it uses less digits than its factorization.

100011010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030636666711.

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

Adding to 100011010001001 its reverse (100100010110001), we get a palindrome (200111020111002).

The spelling of 100011010001001 in words is "one hundred trillion, eleven billion, ten million, one thousand, one".