1102212112112 has 80 divisors (see below), whose sum is σ = 2240036777280. Its totient is φ = 524392704000.

The previous prime is 1102212112073. The next prime is 1102212112121. The reversal of 1102212112112 is 2112112122011.

It is a congruent number.

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 in 15 ways as a sum of consecutive naturals, for example, 111318362 + ... + 111328262.

It is an arithmetic number, because the mean of its divisors is an integer number (28000459716).

Almost surely, 2^{1102212112112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102212112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120018388640).

1102212112112 is an abundant number, since it is smaller than the sum of its proper divisors (1137824665168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1102212112112 is a wasteful number, since it uses less digits than its factorization.

1102212112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482 (or 11476 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1102212112112 its reverse (2112112122011), we get a palindrome (3214324234123).

The spelling of 1102212112112 in words is "one trillion, one hundred two billion, two hundred twelve million, one hundred twelve thousand, one hundred twelve".