11001021122011 has 16 divisors (see below), whose sum is σ = 11224291478400. Its totient is φ = 10780239729600.

The previous prime is 11001021121949. The next prime is 11001021122029. The reversal of 11001021122011 is 11022112010011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11001021122011 - 2²¹ = 11001019024859 is a prime.

It is a super-2 number, since 2×11001021122011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001021121982 and 11001021122000.

It is not an unprimeable number, because it can be changed into a prime (11001021122051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6285156 + ... + 7842526.

It is an arithmetic number, because the mean of its divisors is an integer number (701518217400).

Almost surely, 2^{11001021122011} is an apocalyptic number.

11001021122011 is a deficient number, since it is larger than the sum of its proper divisors (223270356389).

11001021122011 is a wasteful number, since it uses less digits than its factorization.

11001021122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558170.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11001021122011 its reverse (11022112010011), we get a palindrome (22023133132022).

The spelling of 11001021122011 in words is "eleven trillion, one billion, twenty-one million, one hundred twenty-two thousand, eleven".