2101101110112 has 48 divisors (see below), whose sum is σ = 5568937920000. Its totient is φ = 693567353472.

The previous prime is 2101101110089. The next prime is 2101101110137. The reversal of 2101101110112 is 2110111011012.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106235112 + ... + 106254887.

It is an arithmetic number, because the mean of its divisors is an integer number (116019540000).

Almost surely, 2^{2101101110112} is an apocalyptic number.

It is an amenable number.

2101101110112 is an abundant number, since it is smaller than the sum of its proper divisors (3467836809888).

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

2101101110112 is a wasteful number, since it uses less digits than its factorization.

2101101110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212490115 (or 212490107 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2101101110112 its reverse (2110111011012), we get a palindrome (4211212121124).

The spelling of 2101101110112 in words is "two trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred twelve".