100011011001101 has 8 divisors (see below), whose sum is σ = 100075354163064. Its totient is φ = 99946687859200.

The previous prime is 100011011001079. The next prime is 100011011001103. The reversal of 100011011001101 is 101100110110001.

It can be written as a sum of positive squares in 4 ways, for example, as 11134574596201 + 88876436404900 = 3336851^2 + 9427430^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100011011001101 - 2¹⁰ = 100011011000077 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 (100011011001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4995701 + ... + 14999301.

It is an arithmetic number, because the mean of its divisors is an integer number (12509419270383).

Almost surely, 2^{100011011001101} is an apocalyptic number.

It is an amenable number.

100011011001101 is a deficient number, since it is larger than the sum of its proper divisors (64343161963).

100011011001101 is a wasteful number, since it uses less digits than its factorization.

100011011001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010031.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100011011001101 its reverse (101100110110001), we get a palindrome (201111121111102).

It can be divided in two parts, 10001 and 1011001101, that multiplied together give a palindrome (10111022011101).

The spelling of 100011011001101 in words is "one hundred trillion, eleven billion, eleven million, one thousand, one hundred one".