11024211242011 has 64 divisors (see below), whose sum is σ = 12304892920320. Its totient is φ = 9793840896000.

The previous prime is 11024211241969. The next prime is 11024211242017.

11024211242011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11024211242011 - 2¹¹ = 11024211239963 is a prime.

It is a super-2 number, since 2×11024211242011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11024211242017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22452568476 + ... + 22452568966.

It is an arithmetic number, because the mean of its divisors is an integer number (192263951880).

Almost surely, 2^{11024211242011} is an apocalyptic number.

11024211242011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11024211242011 is a deficient number, since it is larger than the sum of its proper divisors (1280681678309).

11024211242011 is a wasteful number, since it uses less digits than its factorization.

11024211242011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 1102421 and 1242011, that added together give a palindrome (2344432).

The spelling of 11024211242011 in words is "eleven trillion, twenty-four billion, two hundred eleven million, two hundred forty-two thousand, eleven".