11120100000101 has 16 divisors (see below), whose sum is σ = 11268132423408. Its totient is φ = 10972845312000.

The previous prime is 11120100000091. The next prime is 11120100000103. The reversal of 11120100000101 is 10100000102111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 895767602500 + 10224332397601 = 946450^2 + 3197551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11120100000101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120100000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66266435 + ... + 66434031.

It is an arithmetic number, because the mean of its divisors is an integer number (704258276463).

Almost surely, 2^{11120100000101} is an apocalyptic number.

It is an amenable number.

11120100000101 is a deficient number, since it is larger than the sum of its proper divisors (148032423307).

11120100000101 is a wasteful number, since it uses less digits than its factorization.

11120100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169912.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11120100000101 its reverse (10100000102111), we get a palindrome (21220100102212).

The spelling of 11120100000101 in words is "eleven trillion, one hundred twenty billion, one hundred million, one hundred one", and thus it is an aban number.