11122011011001 has 128 divisors (see below), whose sum is σ = 17883286272000. Its totient is φ = 6072772608000.

The previous prime is 11122011010997. The next prime is 11122011011009. The reversal of 11122011011001 is 10011011022111.

It is not a de Polignac number, because 11122011011001 - 2² = 11122011010997 is a prime.

It is a super-2 number, since 2×11122011011001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11122011011009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354425530 + ... + 354456908.

It is an arithmetic number, because the mean of its divisors is an integer number (139713174000).

Almost surely, 2^{11122011011001} is an apocalyptic number.

11122011011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11122011011001 is a deficient number, since it is larger than the sum of its proper divisors (6761275260999).

11122011011001 is a wasteful number, since it uses less digits than its factorization.

11122011011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31735.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11122011011001 its reverse (10011011022111), we get a palindrome (21133022033112).

The spelling of 11122011011001 in words is "eleven trillion, one hundred twenty-two billion, eleven million, eleven thousand, one".