100010001001101 has 16 divisors (see below), whose sum is σ = 133457050594560. Its totient is φ = 66618144380160.

The previous prime is 100010001001091. The next prime is 100010001001109. The reversal of 100010001001101 is 101100100010001.

It is not a de Polignac number, because 100010001001101 - 2⁶ = 100010001001037 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100010001001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010001001109) 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, 296131705 + ... + 296469233.

It is an arithmetic number, because the mean of its divisors is an integer number (8341065662160).

Almost surely, 2^{100010001001101} is an apocalyptic number.

It is an amenable number.

100010001001101 is a deficient number, since it is larger than the sum of its proper divisors (33447049593459).

100010001001101 is a wasteful number, since it uses less digits than its factorization.

100010001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418996.

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

Adding to 100010001001101 its reverse (101100100010001), we get a palindrome (201110101011102).

The spelling of 100010001001101 in words is "one hundred trillion, ten billion, one million, one thousand, one hundred one".