111201201002112 has 64 divisors (see below), whose sum is σ = 318099589419360. Its totient is φ = 34215754152960.

The previous prime is 111201201002063. The next prime is 111201201002131. The reversal of 111201201002112 is 211200102102111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×111201201002112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111201201002091 and 111201201002100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11137935814 + ... + 11137945797.

Almost surely, 2^{111201201002112} is an apocalyptic number.

111201201002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111201201002112 is an abundant number, since it is smaller than the sum of its proper divisors (206898388417248).

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

111201201002112 is a wasteful number, since it uses less digits than its factorization.

111201201002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22275881641 (or 22275881629 counting only the distinct ones).

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

Adding to 111201201002112 its reverse (211200102102111), we get a palindrome (322401303104223).

The spelling of 111201201002112 in words is "one hundred eleven trillion, two hundred one billion, two hundred one million, two thousand, one hundred twelve".