100101001106001 has 8 divisors (see below), whose sum is σ = 152534858828224. Its totient is φ = 57200572060560.

The previous prime is 100101001105939. The next prime is 100101001106047. The reversal of 100101001106001 is 100601100101001.

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

It is not a de Polignac number, because 100101001106001 - 2¹⁵ = 100101001073233 is a prime.

It is a super-2 number, since 2×100101001106001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101005106001) 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, 2383357169170 + ... + 2383357169211.

It is an arithmetic number, because the mean of its divisors is an integer number (19066857353528).

Almost surely, 2^{100101001106001} is an apocalyptic number.

It is an amenable number.

100101001106001 is a deficient number, since it is larger than the sum of its proper divisors (52433857722223).

100101001106001 is an equidigital number, since it uses as much as digits as its factorization.

100101001106001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766714338391.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100101001106001 its reverse (100601100101001), we get a palindrome (200702101207002).

The spelling of 100101001106001 in words is "one hundred trillion, one hundred one billion, one million, one hundred six thousand, one".