100111000001001 has 32 divisors (see below), whose sum is σ = 146309237099520. Its totient is φ = 60384692376000.

The previous prime is 100111000000997. The next prime is 100111000001021. The reversal of 100111000001001 is 100100000111001.

It is not a de Polignac number, because 100111000001001 - 2² = 100111000000997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111000001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16681386 + ... + 21874428.

It is an arithmetic number, because the mean of its divisors is an integer number (4572163659360).

Almost surely, 2^{100111000001001} is an apocalyptic number.

100111000001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111000001001 is a deficient number, since it is larger than the sum of its proper divisors (46198237098519).

100111000001001 is a wasteful number, since it uses less digits than its factorization.

100111000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195837.

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

Adding to 100111000001001 its reverse (100100000111001), we get a palindrome (200211000112002).

The spelling of 100111000001001 in words is "one hundred trillion, one hundred eleven billion, one thousand, one".