100100001001101 has 16 divisors (see below), whose sum is σ = 135077520861696. Its totient is φ = 65927941150896.

The previous prime is 100100001001097. The next prime is 100100001001111. The reversal of 100100001001101 is 101100100001001.

It is not a de Polignac number, because 100100001001101 - 2² = 100100001001097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100001001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001001111) 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, 7819176 + ... + 16165998.

It is an arithmetic number, because the mean of its divisors is an integer number (8442345053856).

Almost surely, 2^{100100001001101} is an apocalyptic number.

It is an amenable number.

100100001001101 is a deficient number, since it is larger than the sum of its proper divisors (34977519860595).

100100001001101 is an equidigital number, since it uses as much as digits as its factorization.

100100001001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395072.

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

Adding to 100100001001101 its reverse (101100100001001), we get a palindrome (201200101002102).

It can be divided in two parts, 100100001001 and 101, that multiplied together give a palindrome (10110100101101).

The spelling of 100100001001101 in words is "one hundred trillion, one hundred billion, one million, one thousand, one hundred one".