201011100111112 has 16 divisors (see below), whose sum is σ = 376896185201340. Its totient is φ = 100505450724096.

The previous prime is 201011100111053. The next prime is 201011100111121. The reversal of 201011100111112 is 211111001110102.

It can be written as a sum of positive squares in 2 ways, for example, as 128947062296196 + 72064037814916 = 11355486^2 + 8489054^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201011100111092 and 201011100111101.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3433693 + ... + 20342380.

Almost surely, 2^{201011100111112} is an apocalyptic number.

It is an amenable number.

201011100111112 is a deficient number, since it is larger than the sum of its proper divisors (175885085090228).

201011100111112 is a wasteful number, since it uses less digits than its factorization.

201011100111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24832872 (or 24832868 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 201011100111112 its reverse (211111001110102), we get a palindrome (412122101221214).

The spelling of 201011100111112 in words is "two hundred one trillion, eleven billion, one hundred million, one hundred eleven thousand, one hundred twelve".