2102102211011 has 16 divisors (see below), whose sum is σ = 2295037079808. Its totient is φ = 1909473588000.

The previous prime is 2102102210959. The next prime is 2102102211059. The reversal of 2102102211011 is 1101122012012.

It is not a de Polignac number, because 2102102211011 - 2¹⁸ = 2102101948867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102102241011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177192266 + ... + 177204128.

It is an arithmetic number, because the mean of its divisors is an integer number (143439817488).

Almost surely, 2^{2102102211011} is an apocalyptic number.

2102102211011 is a deficient number, since it is larger than the sum of its proper divisors (192934868797).

2102102211011 is a wasteful number, since it uses less digits than its factorization.

2102102211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23402.

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

Adding to 2102102211011 its reverse (1101122012012), we get a palindrome (3203224223023).

The spelling of 2102102211011 in words is "two trillion, one hundred two billion, one hundred two million, two hundred eleven thousand, eleven".