1001101101112 has 32 divisors (see below), whose sum is σ = 2146133293920. Its totient is φ = 428859999360.

The previous prime is 1001101101101. The next prime is 1001101101127. The reversal of 1001101101112 is 2111011011001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3687103 + ... + 3949294.

It is an arithmetic number, because the mean of its divisors is an integer number (67066665435).

Almost surely, 2^{1001101101112} is an apocalyptic number.

It is an amenable number.

1001101101112 is an abundant number, since it is smaller than the sum of its proper divisors (1145032192808).

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

1001101101112 is a wasteful number, since it uses less digits than its factorization.

1001101101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638751 (or 7638747 counting only the distinct ones).

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

Adding to 1001101101112 its reverse (2111011011001), we get a palindrome (3112112112113).

The spelling of 1001101101112 in words is "one trillion, one billion, one hundred one million, one hundred one thousand, one hundred twelve".