1100122011011 has 16 divisors (see below), whose sum is σ = 1165904288640. Its totient is φ = 1036200184320.

The previous prime is 1100122010993. The next prime is 1100122011031. The reversal of 1100122011011 is 1101102210011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100122011011 is a prime.

It is a super-2 number, since 2×1100122011011² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100122010983 and 1100122011001.

It is not an unprimeable number, because it can be changed into a prime (1100122011031) 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, 20384615 + ... + 20438511.

It is an arithmetic number, because the mean of its divisors is an integer number (72869018040).

Almost surely, 2^{1100122011011} is an apocalyptic number.

1100122011011 is a deficient number, since it is larger than the sum of its proper divisors (65782277629).

1100122011011 is a wasteful number, since it uses less digits than its factorization.

1100122011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71134.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1100122011011 its reverse (1101102210011), we get a palindrome (2201224221022).

The spelling of 1100122011011 in words is "one trillion, one hundred billion, one hundred twenty-two million, eleven thousand, eleven".