2001101020112 has 20 divisors (see below), whose sum is σ = 3879542930340. Its totient is φ = 999928651008.

The previous prime is 2001101020081. The next prime is 2001101020129. The reversal of 2001101020112 is 2110201011002.

It can be written as a sum of positive squares in 2 ways, for example, as 1629615646096 + 371485374016 = 1276564^2 + 609496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001101020093 and 2001101020102.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 38839643 + ... + 38891130.

It is an arithmetic number, because the mean of its divisors is an integer number (193977146517).

Almost surely, 2^{2001101020112} is an apocalyptic number.

It is an amenable number.

2001101020112 is a deficient number, since it is larger than the sum of its proper divisors (1878441910228).

2001101020112 is a wasteful number, since it uses less digits than its factorization.

2001101020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77732390 (or 77732384 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001101020112 its reverse (2110201011002), we get a palindrome (4111302031114).

The spelling of 2001101020112 in words is "two trillion, one billion, one hundred one million, twenty thousand, one hundred twelve".