102211112 has 16 divisors (see below), whose sum is σ = 194788500. Its totient is φ = 50267520.

The previous prime is 102211093. The next prime is 102211121. The reversal of 102211112 is 211112201.

It can be written as a sum of positive squares in 2 ways, for example, as 62948356 + 39262756 = 7934^2 + 6266^2 .

It is a super-2 number, since 2×102211112² = 20894222832553088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102211093 and 102211102.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 104237 + ... + 105212.

Almost surely, 2^102211112 is an apocalyptic number.

It is an amenable number.

102211112 is a deficient number, since it is larger than the sum of its proper divisors (92577388).

102211112 is a wasteful number, since it uses less digits than its factorization.

102211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209516 (or 209512 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 102211112 is about 10109.9511373696. The cubic root of 102211112 is about 467.5549986292.

Adding to 102211112 its reverse (211112201), we get a palindrome (313323313).

It can be divided in two parts, 10 and 2211112, that added together give a palindrome (2211122).

The spelling of 102211112 in words is "one hundred two million, two hundred eleven thousand, one hundred twelve".