1001100111112 has 8 divisors (see below), whose sum is σ = 1877062708350. Its totient is φ = 500550055552.

The previous prime is 1001100111107. The next prime is 1001100111113. The reversal of 1001100111112 is 2111110011001.

It can be written as a sum of positive squares in only one way, i.e., 905911818436 + 95188292676 = 951794^2 + 308526^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (1001100111113) 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 as a sum of consecutive naturals, namely, 62568756937 + ... + 62568756952.

Almost surely, 2^{1001100111112} is an apocalyptic number.

It is an amenable number.

1001100111112 is a deficient number, since it is larger than the sum of its proper divisors (875962597238).

1001100111112 is a wasteful number, since it uses less digits than its factorization.

1001100111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125137513895 (or 125137513891 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1001100111112 its reverse (2111110011001), we get a palindrome (3112210122113).

The spelling of 1001100111112 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, one hundred twelve".