11202111102112 has 144 divisors (see below), whose sum is σ = 27007955815680. Its totient is φ = 4547742796800.

The previous prime is 11202111102103. The next prime is 11202111102121. The reversal of 11202111102112 is 21120111120211.

It is an interprime number because it is at equal distance from previous prime (11202111102103) and next prime (11202111102121).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454047537 + ... + 454072207.

It is an arithmetic number, because the mean of its divisors is an integer number (187555248720).

Almost surely, 2^{11202111102112} 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 11202111102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503977907840).

11202111102112 is an abundant number, since it is smaller than the sum of its proper divisors (15805844713568).

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

11202111102112 is a wasteful number, since it uses less digits than its factorization.

11202111102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39955 (or 39940 counting only the distinct ones).

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

Adding to 11202111102112 its reverse (21120111120211), we get a palindrome (32322222222323).

The spelling of 11202111102112 in words is "eleven trillion, two hundred two billion, one hundred eleven million, one hundred two thousand, one hundred twelve".