102120102211 has 12 divisors (see below), whose sum is σ = 103472553600. Its totient is φ = 100782516240.

The previous prime is 102120102187. The next prime is 102120102283. The reversal of 102120102211 is 112201021201.

It is not a de Polignac number, because 102120102211 - 2¹⁷ = 102119971139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120102191 and 102120102200.

It is not an unprimeable number, because it can be changed into a prime (102220102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3064065 + ... + 3097213.

It is an arithmetic number, because the mean of its divisors is an integer number (8622712800).

Almost surely, 2^102120102211 is an apocalyptic number.

102120102211 is a deficient number, since it is larger than the sum of its proper divisors (1352451389).

102120102211 is an equidigital number, since it uses as much as digits as its factorization.

102120102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33594 (or 33467 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102120102211 its reverse (112201021201), we get a palindrome (214321123412).

The spelling of 102120102211 in words is "one hundred two billion, one hundred twenty million, one hundred two thousand, two hundred eleven".