2001101000112 has 80 divisors (see below), whose sum is σ = 6081777571680. Its totient is φ = 627796389888.

The previous prime is 2001101000071. The next prime is 2001101000113. The reversal of 2001101000112 is 2110001011002.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001101000094 and 2001101000103.

It is not an unprimeable number, because it can be changed into a prime (2001101000113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136233193 + ... + 136247880.

It is an arithmetic number, because the mean of its divisors is an integer number (76022219646).

Almost surely, 2^{2001101000112} is an apocalyptic number.

It is an amenable number.

2001101000112 is an abundant number, since it is smaller than the sum of its proper divisors (4080676571568).

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

2001101000112 is a wasteful number, since it uses less digits than its factorization.

2001101000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272481107 (or 272481095 counting only the distinct ones).

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

Adding to 2001101000112 its reverse (2110001011002), we get a palindrome (4111102011114).

The spelling of 2001101000112 in words is "two trillion, one billion, one hundred one million, one hundred twelve", and thus it is an aban number.