100101001111001 has 8 divisors (see below), whose sum is σ = 110282291054208. Its totient is φ = 90099910990000.

The previous prime is 100101001110991. The next prime is 100101001111061. The reversal of 100101001111001 is 100111100101001.

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

It is a cyclic number.

It is not a de Polignac number, because 100101001111001 - 2²⁶ = 100100934002137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101001111001.

It is not an unprimeable number, because it can be changed into a prime (100101001111061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45049954385 + ... + 45049956606.

It is an arithmetic number, because the mean of its divisors is an integer number (13785286381776).

Almost surely, 2^{100101001111001} is an apocalyptic number.

100101001111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101001111001 is a deficient number, since it is larger than the sum of its proper divisors (10181289943207).

100101001111001 is a wasteful number, since it uses less digits than its factorization.

100101001111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90099911103.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101001111001 its reverse (100111100101001), we get a palindrome (200212101212002).

The spelling of 100101001111001 in words is "one hundred trillion, one hundred one billion, one million, one hundred eleven thousand, one".