11211000101101 has 8 divisors (see below), whose sum is σ = 11325417886584. Its totient is φ = 11096649331200.

The previous prime is 11211000101057. The next prime is 11211000101117. The reversal of 11211000101101 is 10110100011211.

It can be written as a sum of positive squares in 4 ways, for example, as 5137860889225 + 6073139211876 = 2266685^2 + 2464374^2 .

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 11211000101101 - 2⁹ = 11211000100589 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 (11211000101141) 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, 16417576 + ... + 17086801.

It is an arithmetic number, because the mean of its divisors is an integer number (1415677235823).

Almost surely, 2^{11211000101101} is an apocalyptic number.

It is an amenable number.

11211000101101 is a deficient number, since it is larger than the sum of its proper divisors (114417785483).

11211000101101 is a wasteful number, since it uses less digits than its factorization.

11211000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33507791.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11211000101101 its reverse (10110100011211), we get a palindrome (21321100112312).

The spelling of 11211000101101 in words is "eleven trillion, two hundred eleven billion, one hundred one thousand, one hundred one".