101100222112 has 12 divisors (see below), whose sum is σ = 199041062346. Its totient is φ = 50550111040.

The previous prime is 101100222071. The next prime is 101100222131. The reversal of 101100222112 is 211222001101.

It can be written as a sum of positive squares in only one way, i.e., 87874302096 + 13225920016 = 296436^2 + 115004^2 .

It is a super-2 number, since 2×101100222112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100222092 and 101100222101.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1579690939 + ... + 1579691002.

Almost surely, 2^101100222112 is an apocalyptic number.

It is an amenable number.

101100222112 is a deficient number, since it is larger than the sum of its proper divisors (97940840234).

101100222112 is an equidigital number, since it uses as much as digits as its factorization.

101100222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159381951 (or 3159381943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101100222112 its reverse (211222001101), we get a palindrome (312322223213).

The spelling of 101100222112 in words is "one hundred one billion, one hundred million, two hundred twenty-two thousand, one hundred twelve".