102011022211 has 16 divisors (see below), whose sum is σ = 122999641600. Its totient is φ = 82647278208.

The previous prime is 102011022209. The next prime is 102011022259. The reversal of 102011022211 is 112220110201.

It is a cyclic number.

It is not a de Polignac number, because 102011022211 - 2¹ = 102011022209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011022191 and 102011022200.

It is not an unprimeable number, because it can be changed into a prime (102011022271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815190 + ... + 931963.

It is an arithmetic number, because the mean of its divisors is an integer number (7687477600).

Almost surely, 2^102011022211 is an apocalyptic number.

102011022211 is a deficient number, since it is larger than the sum of its proper divisors (20988619389).

102011022211 is a wasteful number, since it uses less digits than its factorization.

102011022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747618.

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

Adding to 102011022211 its reverse (112220110201), we get a palindrome (214231132412).

The spelling of 102011022211 in words is "one hundred two billion, eleven million, twenty-two thousand, two hundred eleven".