1100122112011 has 8 divisors (see below), whose sum is σ = 1186461439184. Its totient is φ = 1014027720480.

The previous prime is 1100122111973. The next prime is 1100122112041. The reversal of 1100122112011 is 1102112210011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1100122112011 - 2¹⁷ = 1100121980939 is a prime.

It is a super-2 number, since 2×1100122112011² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100122111982 and 1100122112000.

It is not an unprimeable number, because it can be changed into a prime (1100122112041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61224576 + ... + 61242541.

It is an arithmetic number, because the mean of its divisors is an integer number (148307679898).

Almost surely, 2^{1100122112011} is an apocalyptic number.

1100122112011 is a deficient number, since it is larger than the sum of its proper divisors (86339327173).

1100122112011 is a wasteful number, since it uses less digits than its factorization.

1100122112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122467821.

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

Adding to 1100122112011 its reverse (1102112210011), we get a palindrome (2202234322022).

The spelling of 1100122112011 in words is "one trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, eleven".