2101100002112 has 56 divisors (see below), whose sum is σ = 4175255876040. Its totient is φ = 1049068052480.

The previous prime is 2101100002063. The next prime is 2101100002129. The reversal of 2101100002112 is 2112000011012.

It can be written as a sum of positive squares in 4 ways, for example, as 129726750976 + 1971373251136 = 360176^2 + 1404056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2101100002093 and 2101100002102.

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, 167158964 + ... + 167171532.

Almost surely, 2^{2101100002112} is an apocalyptic number.

It is an amenable number.

2101100002112 is a deficient number, since it is larger than the sum of its proper divisors (2074155873928).

2101100002112 is a wasteful number, since it uses less digits than its factorization.

2101100002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16059 (or 16049 counting only the distinct ones).

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

Adding to 2101100002112 its reverse (2112000011012), we get a palindrome (4213100013124).

The spelling of 2101100002112 in words is "two trillion, one hundred one billion, one hundred million, two thousand, one hundred twelve".