101112111122 has 12 divisors (see below), whose sum is σ = 166709638158. Its totient is φ = 45960050400.

The previous prime is 101112111077. The next prime is 101112111127. The reversal of 101112111122 is 221111211101.

It can be written as a sum of positive squares in only one way, i.e., 100983492841 + 128618281 = 317779^2 + 11341^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101112111097 and 101112111106.

It is not an unprimeable number, because it can be changed into a prime (101112111127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208909079 + ... + 208909562.

Almost surely, 2^101112111122 is an apocalyptic number.

101112111122 is a deficient number, since it is larger than the sum of its proper divisors (65597527036).

101112111122 is a wasteful number, since it uses less digits than its factorization.

101112111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417818665 (or 417818654 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101112111122 its reverse (221111211101), we get a palindrome (322223322223).

The spelling of 101112111122 in words is "one hundred one billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-two".