2102102122211 has 16 divisors (see below), whose sum is σ = 2631053510400. Its totient is φ = 1635011815968.

The previous prime is 2102102122201. The next prime is 2102102122223. The reversal of 2102102122211 is 1122212012012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102102122211 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102102122211.

It is not an unprimeable number, because it can be changed into a prime (2102102122201) 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, 195757541 + ... + 195768278.

It is an arithmetic number, because the mean of its divisors is an integer number (164440844400).

Almost surely, 2^{2102102122211} is an apocalyptic number.

2102102122211 is a deficient number, since it is larger than the sum of its proper divisors (528951388189).

2102102122211 is a wasteful number, since it uses less digits than its factorization.

2102102122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391525898.

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

Adding to 2102102122211 its reverse (1122212012012), we get a palindrome (3224314134223).

The spelling of 2102102122211 in words is "two trillion, one hundred two billion, one hundred two million, one hundred twenty-two thousand, two hundred eleven".