100011010010001 has 16 divisors (see below), whose sum is σ = 134681496348288. Its totient is φ = 66013865953200.

The previous prime is 100011010009987. The next prime is 100011010010003. The reversal of 100011010010001 is 100010010110001.

It is not a de Polignac number, because 100011010010001 - 2⁹ = 100011010009489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100011010010003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13087381 + ... + 19269186.

It is an arithmetic number, because the mean of its divisors is an integer number (8417593521768).

Almost surely, 2^{100011010010001} is an apocalyptic number.

It is an amenable number.

100011010010001 is a deficient number, since it is larger than the sum of its proper divisors (34670486338287).

100011010010001 is an frugal number, since it uses more digits than its factorization.

100011010010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32356873 (or 32356671 counting only the distinct ones).

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

Adding to 100011010010001 its reverse (100010010110001), we get a palindrome (200021020120002).

The spelling of 100011010010001 in words is "one hundred trillion, eleven billion, ten million, ten thousand, one".