100100100001101 has 8 divisors (see below), whose sum is σ = 133648882951200. Its totient is φ = 66642358525872.

The previous prime is 100100100001073. The next prime is 100100100001103. The reversal of 100100100001101 is 101100001001001.

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

It is not a de Polignac number, because 100100100001101 - 2⁷ = 100100100000973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100100001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100001103) 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, 22760366151 + ... + 22760370548.

It is an arithmetic number, because the mean of its divisors is an integer number (16706110368900).

Almost surely, 2^{100100100001101} is an apocalyptic number.

It is an amenable number.

100100100001101 is a deficient number, since it is larger than the sum of its proper divisors (33548782950099).

100100100001101 is an equidigital number, since it uses as much as digits as its factorization.

100100100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45520737435.

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

Adding to 100100100001101 its reverse (101100001001001), we get a palindrome (201200101002102).

The spelling of 100100100001101 in words is "one hundred trillion, one hundred billion, one hundred million, one thousand, one hundred one".