100101010001101 has 16 divisors (see below), whose sum is σ = 101653974259200. Its totient is φ = 98555211331200.

The previous prime is 100101010001081. The next prime is 100101010001159. The reversal of 100101010001101 is 101100010101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101010001101 - 2¹⁹ = 100101009476813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101010001401) 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, 1360752361 + ... + 1360825921.

It is an arithmetic number, because the mean of its divisors is an integer number (6353373391200).

Almost surely, 2^{100101010001101} is an apocalyptic number.

It is an amenable number.

100101010001101 is a deficient number, since it is larger than the sum of its proper divisors (1552964258099).

100101010001101 is an equidigital number, since it uses as much as digits as its factorization.

100101010001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121980.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101010001101 its reverse (101100010101001), we get a palindrome (201201020102102).

The spelling of 100101010001101 in words is "one hundred trillion, one hundred one billion, ten million, one thousand, one hundred one".