2211212112102 has 72 divisors (see below), whose sum is σ = 5578239860856. Its totient is φ = 631198701504.

The previous prime is 2211212112073. The next prime is 2211212112103. The reversal of 2211212112102 is 2012112121122.

2211212112102 is a `hidden beast` number, since 221 + 1 + 21 + 211 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211212112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175128 + ... + 2110235.

It is an arithmetic number, because the mean of its divisors is an integer number (77475553623).

Almost surely, 2^{2211212112102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211212112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789119930428).

2211212112102 is an abundant number, since it is smaller than the sum of its proper divisors (3367027748754).

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

2211212112102 is a wasteful number, since it uses less digits than its factorization.

2211212112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286482 (or 2286472 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2211212112102 its reverse (2012112121122), we get a palindrome (4223324233224).

The spelling of 2211212112102 in words is "two trillion, two hundred eleven billion, two hundred twelve million, one hundred twelve thousand, one hundred two".