2001112000101 has 48 divisors (see below), whose sum is σ = 3030371664320. Its totient is φ = 1319510528640.

The previous prime is 2001112000079. The next prime is 2001112000103. The reversal of 2001112000101 is 1010002111002.

It is a happy number.

It is not a de Polignac number, because 2001112000101 - 2⁷ = 2001111999973 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001112000103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15057921 + ... + 15190233.

Almost surely, 2^{2001112000101} is an apocalyptic number.

It is an amenable number.

2001112000101 is a deficient number, since it is larger than the sum of its proper divisors (1029259664219).

2001112000101 is a wasteful number, since it uses less digits than its factorization.

2001112000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133008 (or 132996 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001112000101 its reverse (1010002111002), we get a palindrome (3011114111103).

The spelling of 2001112000101 in words is "two trillion, one billion, one hundred twelve million, one hundred one", and thus it is an aban number.