11102201102112 has 96 divisors (see below), whose sum is σ = 30752067104640. Its totient is φ = 3500058777600.

The previous prime is 11102201102101. The next prime is 11102201102149. The reversal of 11102201102112 is 21120110220111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11102201102091 and 11102201102100.

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, 28051639 + ... + 28444662.

It is an arithmetic number, because the mean of its divisors is an integer number (320334032340).

Almost surely, 2^{11102201102112} is an apocalyptic number.

11102201102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11102201102112 is an abundant number, since it is smaller than the sum of its proper divisors (19649866002528).

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

11102201102112 is a wasteful number, since it uses less digits than its factorization.

11102201102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56496426 (or 56496418 counting only the distinct ones).

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

Adding to 11102201102112 its reverse (21120110220111), we get a palindrome (32222311322223).

The spelling of 11102201102112 in words is "eleven trillion, one hundred two billion, two hundred one million, one hundred two thousand, one hundred twelve".