2102112212181 has 16 divisors (see below), whose sum is σ = 2806244481600. Its totient is φ = 1399695001088.

The previous prime is 2102112212177. The next prime is 2102112212183. The reversal of 2102112212181 is 1812122112012.

It is a cyclic number.

It is not a de Polignac number, because 2102112212181 - 2² = 2102112212177 is a prime.

It is a super-3 number, since 3×2102112212181³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102112212183) 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, 8784325 + ... + 9020453.

It is an arithmetic number, because the mean of its divisors is an integer number (175390280100).

Almost surely, 2^{2102112212181} is an apocalyptic number.

It is an amenable number.

2102112212181 is a deficient number, since it is larger than the sum of its proper divisors (704132269419).

2102112212181 is a wasteful number, since it uses less digits than its factorization.

2102112212181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239748.

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 2102112212181 its reverse (1812122112012), we get a palindrome (3914234324193).

The spelling of 2102112212181 in words is "two trillion, one hundred two billion, one hundred twelve million, two hundred twelve thousand, one hundred eighty-one".