2112100212101 has 32 divisors (see below), whose sum is σ = 2365339025280. Its totient is φ = 1869784300800.

The previous prime is 2112100212017. The next prime is 2112100212107. The reversal of 2112100212101 is 1012120012112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112100212101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112100212107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29144930 + ... + 29217308.

It is an arithmetic number, because the mean of its divisors is an integer number (73916844540).

Almost surely, 2^{2112100212101} is an apocalyptic number.

It is an amenable number.

2112100212101 is a deficient number, since it is larger than the sum of its proper divisors (253238813179).

2112100212101 is a wasteful number, since it uses less digits than its factorization.

2112100212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72885.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2112100212101 its reverse (1012120012112), we get a palindrome (3124220224213).

The spelling of 2112100212101 in words is "two trillion, one hundred twelve billion, one hundred million, two hundred twelve thousand, one hundred one".