1103122213011 has 48 divisors (see below), whose sum is σ = 1961449963200. Its totient is φ = 581764654080.

The previous prime is 1103122212977. The next prime is 1103122213049.

1103122213011 is a `hidden beast` number, since 110 + 31 + 2 + 221 + 301 + 1 = 666.

1103122213011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1103122213011 - 2¹¹ = 1103122210963 is a prime.

It is a super-2 number, since 2×1103122213011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1103122213811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4675191 + ... + 4905471.

It is an arithmetic number, because the mean of its divisors is an integer number (40863540900).

Almost surely, 2^{1103122213011} is an apocalyptic number.

1103122213011 is a deficient number, since it is larger than the sum of its proper divisors (858327750189).

1103122213011 is a wasteful number, since it uses less digits than its factorization.

1103122213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236156 (or 236153 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 1103122213011 in words is "one trillion, one hundred three billion, one hundred twenty-two million, two hundred thirteen thousand, eleven".