100101111101001 has 24 divisors (see below), whose sum is σ = 145422308782400. Its totient is φ = 66350645143200.

The previous prime is 100101111100997. The next prime is 100101111101039.

100101111101001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100101111101001 - 2² = 100101111100997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

100101111101001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101111101041) 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 23 ways as a sum of consecutive naturals, for example, 17762395 + ... + 22709136.

Almost surely, 2^{100101111101001} is an apocalyptic number.

It is an amenable number.

100101111101001 is a deficient number, since it is larger than the sum of its proper divisors (45321197681399).

100101111101001 is a wasteful number, since it uses less digits than its factorization.

100101111101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40473117 (or 40473114 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

The spelling of 100101111101001 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one".