101132122211103 has 16 divisors (see below), whose sum is σ = 142776046179936. Its totient is φ = 63454877936640.

The previous prime is 101132122211039. The next prime is 101132122211161. The reversal of 101132122211103 is 301112221231101.

It is not a de Polignac number, because 101132122211103 - 2⁶ = 101132122211039 is a prime.

It is a super-2 number, since 2×101132122211103² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101132122211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132122211173) 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, 3170158 + ... + 14571003.

It is an arithmetic number, because the mean of its divisors is an integer number (8923502886246).

Almost surely, 2^{101132122211103} is an apocalyptic number.

101132122211103 is a deficient number, since it is larger than the sum of its proper divisors (41643923968833).

101132122211103 is a wasteful number, since it uses less digits than its factorization.

101132122211103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17852954.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101132122211103 its reverse (301112221231101), we get a palindrome (402244343442204).

The spelling of 101132122211103 in words is "one hundred one trillion, one hundred thirty-two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred three".