100001101001001 has 16 divisors (see below), whose sum is σ = 134668552058688. Its totient is φ = 66000658680000.

The previous prime is 100001101000979. The next prime is 100001101001017. The reversal of 100001101001001 is 100100101100001.

It is not a de Polignac number, because 100001101001001 - 2³⁷ = 99863662047529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001101001051) 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, 13666831 + ... + 19666836.

It is an arithmetic number, because the mean of its divisors is an integer number (8416784503668).

Almost surely, 2^{100001101001001} is an apocalyptic number.

It is an amenable number.

100001101001001 is a deficient number, since it is larger than the sum of its proper divisors (34667451057687).

100001101001001 is a wasteful number, since it uses less digits than its factorization.

100001101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33343672.

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

Adding to 100001101001001 its reverse (100100101100001), we get a palindrome (200101202101002).

The spelling of 100001101001001 in words is "one hundred trillion, one billion, one hundred one million, one thousand, one".