102102111102211 has 16 divisors (see below), whose sum is σ = 118407299270400. Its totient is φ = 87064190604000.

The previous prime is 102102111102209. The next prime is 102102111102227. The reversal of 102102111102211 is 112201111201201.

It is a cyclic number.

It is not a de Polignac number, because 102102111102211 - 2¹ = 102102111102209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102111102241) 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, 2418428631 + ... + 2418470848.

It is an arithmetic number, because the mean of its divisors is an integer number (7400456204400).

Almost surely, 2^{102102111102211} is an apocalyptic number.

102102111102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102102111102211 is a deficient number, since it is larger than the sum of its proper divisors (16305188168189).

102102111102211 is a wasteful number, since it uses less digits than its factorization.

102102111102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836899610.

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

Adding to 102102111102211 its reverse (112201111201201), we get a palindrome (214303222303412).

The spelling of 102102111102211 in words is "one hundred two trillion, one hundred two billion, one hundred eleven million, one hundred two thousand, two hundred eleven".