2212102122101 has 16 divisors (see below), whose sum is σ = 2403738186240. Its totient is φ = 2027992412160.

The previous prime is 2212102122079. The next prime is 2212102122103. The reversal of 2212102122101 is 1012212012122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2212102122101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2212102122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212102122103) 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, 18714281 + ... + 18832113.

It is an arithmetic number, because the mean of its divisors is an integer number (150233636640).

Almost surely, 2^{2212102122101} is an apocalyptic number.

It is an amenable number.

2212102122101 is a deficient number, since it is larger than the sum of its proper divisors (191636064139).

2212102122101 is a wasteful number, since it uses less digits than its factorization.

2212102122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149756.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2212102122101 its reverse (1012212012122), we get a palindrome (3224314134223).

The spelling of 2212102122101 in words is "two trillion, two hundred twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred one".