11002122120011 has 6 divisors (see below), whose sum is σ = 12093241669236. Its totient is φ = 10001929199900.

The previous prime is 11002122119999. The next prime is 11002122120043.

11002122120011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11002122120011 - 2¹⁴ = 11002122103627 is a prime.

It is a super-2 number, since 2×11002122120011² (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 (11002122120211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45463314425 + ... + 45463314666.

It is an arithmetic number, because the mean of its divisors is an integer number (2015540278206).

Almost surely, 2^{11002122120011} is an apocalyptic number.

11002122120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11002122120011 is a deficient number, since it is larger than the sum of its proper divisors (1091119549225).

11002122120011 is an equidigital number, since it uses as much as digits as its factorization.

11002122120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90926629113 (or 90926629102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1100212 and 2120011, that added together give a palindrome (3220223).

The spelling of 11002122120011 in words is "eleven trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, eleven".