1103122211103 has 64 divisors (see below), whose sum is σ = 1826713728000. Its totient is φ = 652107456000.

The previous prime is 1103122211083. The next prime is 1103122211131. The reversal of 1103122211103 is 3011122213011.

It is not a de Polignac number, because 1103122211103 - 2⁶ = 1103122211039 is a prime.

It is a super-2 number, since 2×1103122211103² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103122210103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82321998 + ... + 82335396.

It is an arithmetic number, because the mean of its divisors is an integer number (28542402000).

Almost surely, 2^{1103122211103} is an apocalyptic number.

1103122211103 is a deficient number, since it is larger than the sum of its proper divisors (723591516897).

1103122211103 is a wasteful number, since it uses less digits than its factorization.

1103122211103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20221 (or 20215 counting only the distinct ones).

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

Adding to 1103122211103 its reverse (3011122213011), we get a palindrome (4114244424114).

The spelling of 1103122211103 in words is "one trillion, one hundred three billion, one hundred twenty-two million, two hundred eleven thousand, one hundred three".