10001101200011 has 32 divisors (see below), whose sum is σ = 11086992322560. Its totient is φ = 8979150809376.

The previous prime is 10001101199993. The next prime is 10001101200019. The reversal of 10001101200011 is 11000210110001.

It is a happy number.

It is not a de Polignac number, because 10001101200011 - 2¹⁰ = 10001101198987 is a prime.

It is a super-2 number, since 2×10001101200011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001101200019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22181360 + ... + 22627746.

It is an arithmetic number, because the mean of its divisors is an integer number (346468510080).

Almost surely, 2^{10001101200011} is an apocalyptic number.

10001101200011 is a deficient number, since it is larger than the sum of its proper divisors (1085891122549).

10001101200011 is a wasteful number, since it uses less digits than its factorization.

10001101200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446903.

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

Adding to 10001101200011 its reverse (11000210110001), we get a palindrome (21001311310012).

The spelling of 10001101200011 in words is "ten trillion, one billion, one hundred one million, two hundred thousand, eleven".