11101002000101 has 16 divisors (see below), whose sum is σ = 12660547145904. Its totient is φ = 9642487701504.

The previous prime is 11101002000091. The next prime is 11101002000161. The reversal of 11101002000101 is 10100020010111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4115222500 + 11096886777601 = 64150^2 + 3331199^2 .

It is not a de Polignac number, because 11101002000101 - 2¹⁰ = 11101001999077 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 (11101002000161) 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 15 ways as a sum of consecutive naturals, for example, 3570800 + ... + 5912073.

It is an arithmetic number, because the mean of its divisors is an integer number (791284196619).

Almost surely, 2^{11101002000101} is an apocalyptic number.

It is an amenable number.

11101002000101 is a deficient number, since it is larger than the sum of its proper divisors (1559545145803).

11101002000101 is a wasteful number, since it uses less digits than its factorization.

11101002000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9488200.

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

Adding to 11101002000101 its reverse (10100020010111), we get a palindrome (21201022010212).

The spelling of 11101002000101 in words is "eleven trillion, one hundred one billion, two million, one hundred one", and thus it is an aban number.