1001101111112 has 8 divisors (see below), whose sum is σ = 1877064583350. Its totient is φ = 500550555552.

The previous prime is 1001101111039. The next prime is 1001101111117. The reversal of 1001101111112 is 2111111011001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 564610976836 + 436490134276 = 751406^2 + 660674^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1001101111093 and 1001101111102.

It is not an unprimeable number, because it can be changed into a prime (1001101111117) 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, 62568819437 + ... + 62568819452.

Almost surely, 2^{1001101111112} is an apocalyptic number.

It is an amenable number.

1001101111112 is a deficient number, since it is larger than the sum of its proper divisors (875963472238).

1001101111112 is a wasteful number, since it uses less digits than its factorization.

1001101111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125137638895 (or 125137638891 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1001101111112 its reverse (2111111011001), we get a palindrome (3112212122113).

The spelling of 1001101111112 in words is "one trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred twelve".