10011200111011 has 8 divisors (see below), whose sum is σ = 10921371217344. Its totient is φ = 9101039338920.

The previous prime is 10011200110973. The next prime is 10011200111021. The reversal of 10011200111011 is 11011100211001.

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 10011200111011 - 2²³ = 10011191722403 is a prime.

It is a super-3 number, since 3×10011200111011³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011200111021) 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 7 ways as a sum of consecutive naturals, for example, 483805 + ... + 4500718.

It is an arithmetic number, because the mean of its divisors is an integer number (1365171402168).

Almost surely, 2^{10011200111011} is an apocalyptic number.

10011200111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011200111011 is a deficient number, since it is larger than the sum of its proper divisors (910171106333).

10011200111011 is a wasteful number, since it uses less digits than its factorization.

10011200111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167121.

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

Adding to 10011200111011 its reverse (11011100211001), we get a palindrome (21022300322012).

The spelling of 10011200111011 in words is "ten trillion, eleven billion, two hundred million, one hundred eleven thousand, eleven".