102011102221 has 12 divisors (see below), whose sum is σ = 119716123932. Its totient is φ = 86664294528.

The previous prime is 102011102191. The next prime is 102011102233. The reversal of 102011102221 is 122201110201.

It can be written as a sum of positive squares in 2 ways, for example, as 1911001225 + 100100100996 = 43715^2 + 316386^2 .

It is not a de Polignac number, because 102011102221 - 2³¹ = 99863618573 is a prime.

It is a super-2 number, since 2×102011102221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011162221) 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 11 ways as a sum of consecutive naturals, for example, 9206230 + ... + 9217303.

It is an arithmetic number, because the mean of its divisors is an integer number (9976343661).

Almost surely, 2^102011102221 is an apocalyptic number.

It is an amenable number.

102011102221 is a deficient number, since it is larger than the sum of its proper divisors (17705021711).

102011102221 is a wasteful number, since it uses less digits than its factorization.

102011102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18423660 (or 18423653 counting only the distinct ones).

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

Adding to 102011102221 its reverse (122201110201), we get a palindrome (224212212422).

The spelling of 102011102221 in words is "one hundred two billion, eleven million, one hundred two thousand, two hundred twenty-one".