11201011022112 has 24 divisors (see below), whose sum is σ = 29402653933296. Its totient is φ = 3733670340672.

The previous prime is 11201011022111. The next prime is 11201011022153. The reversal of 11201011022112 is 21122011010211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 11201011022091 and 11201011022100.

It is not an unprimeable number, because it can be changed into a prime (11201011022111) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 58338598978 + ... + 58338599169.

It is an arithmetic number, because the mean of its divisors is an integer number (1225110580554).

Almost surely, 2^{11201011022112} is an apocalyptic number.

11201011022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11201011022112 is an abundant number, since it is smaller than the sum of its proper divisors (18201642911184).

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

11201011022112 is a wasteful number, since it uses less digits than its factorization.

11201011022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116677198160 (or 116677198152 counting only the distinct ones).

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

Adding to 11201011022112 its reverse (21122011010211), we get a palindrome (32323022032323).

The spelling of 11201011022112 in words is "eleven trillion, two hundred one billion, eleven million, twenty-two thousand, one hundred twelve".