11202120110112 has 96 divisors (see below), whose sum is σ = 30212705787264. Its totient is φ = 3631628851200.

The previous prime is 11202120110059. The next prime is 11202120110131. The reversal of 11202120110112 is 21101102120211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11202120110112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11202120110091 and 11202120110100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8024437 + ... + 9316427.

It is an arithmetic number, because the mean of its divisors is an integer number (314715685284).

Almost surely, 2^{11202120110112} is an apocalyptic number.

11202120110112 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 11202120110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106352893632).

11202120110112 is an abundant number, since it is smaller than the sum of its proper divisors (19010585677152).

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

11202120110112 is a wasteful number, since it uses less digits than its factorization.

11202120110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294482 (or 1294474 counting only the distinct ones).

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

Adding to 11202120110112 its reverse (21101102120211), we get a palindrome (32303222230323).

The spelling of 11202120110112 in words is "eleven trillion, two hundred two billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".