1102211120112 has 80 divisors (see below), whose sum is σ = 2896017455520. Its totient is φ = 361175474176.

The previous prime is 1102211120107. The next prime is 1102211120141. The reversal of 1102211120112 is 2110211122011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1102211120091 and 1102211120100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6633 + ... + 1484744.

It is an arithmetic number, because the mean of its divisors is an integer number (36200218194).

Almost surely, 2^{1102211120112} is an apocalyptic number.

1102211120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102211120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448008727760).

1102211120112 is an abundant number, since it is smaller than the sum of its proper divisors (1793806335408).

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

1102211120112 is a wasteful number, since it uses less digits than its factorization.

1102211120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491650 (or 1491644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1102211120112 its reverse (2110211122011), we get a palindrome (3212422242123).

The spelling of 1102211120112 in words is "one trillion, one hundred two billion, two hundred eleven million, one hundred twenty thousand, one hundred twelve".