1001112100101 has 12 divisors (see below), whose sum is σ = 1452421082112. Its totient is φ = 664467941736.

The previous prime is 1001112100099. The next prime is 1001112100133. The reversal of 1001112100101 is 1010012111001.

It is not a de Polignac number, because 1001112100101 - 2¹ = 1001112100099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112100181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245008261 + ... + 245012346.

It is an arithmetic number, because the mean of its divisors is an integer number (121035090176).

Almost surely, 2^{1001112100101} is an apocalyptic number.

It is an amenable number.

1001112100101 is a deficient number, since it is larger than the sum of its proper divisors (451308982011).

1001112100101 is a wasteful number, since it uses less digits than its factorization.

1001112100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490020840 (or 490020837 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001112100101 its reverse (1010012111001), we get a palindrome (2011124211102).

The spelling of 1001112100101 in words is "one trillion, one billion, one hundred twelve million, one hundred thousand, one hundred one".