11201011211112 has 64 divisors (see below), whose sum is σ = 29646729000000. Its totient is φ = 3516715390464.

The previous prime is 11201011211099. The next prime is 11201011211119. The reversal of 11201011211112 is 21111211010211.

It is a junction number, because it is equal to n+sod(n) for n = 11201011211091 and 11201011211100.

It is not an unprimeable number, because it can be changed into a prime (11201011211119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70914237 + ... + 71072012.

It is an arithmetic number, because the mean of its divisors is an integer number (463230140625).

Almost surely, 2^{11201011211112} is an apocalyptic number.

11201011211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11201011211112 is an abundant number, since it is smaller than the sum of its proper divisors (18445717788888).

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

11201011211112 is a wasteful number, since it uses less digits than its factorization.

11201011211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141986450 (or 141986446 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11201011211112 its reverse (21111211010211), we get a palindrome (32312222221323).

The spelling of 11201011211112 in words is "eleven trillion, two hundred one billion, eleven million, two hundred eleven thousand, one hundred twelve".