102211013 has 6 divisors (see below), whose sum is σ = 107874054. Its totient is φ = 96831144.

The previous prime is 102211003. The next prime is 102211033. The reversal of 102211013 is 310112201.

It can be written as a sum of positive squares in only one way, i.e., 98743969 + 3467044 = 9937^2 + 1862^2 .

It is not a de Polignac number, because 102211013 - 2²⁰ = 101162437 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102210985 and 102211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141206 + ... + 141927.

It is an arithmetic number, because the mean of its divisors is an integer number (17979009).

Almost surely, 2^102211013 is an apocalyptic number.

It is an amenable number.

102211013 is a deficient number, since it is larger than the sum of its proper divisors (5663041).

102211013 is an equidigital number, since it uses as much as digits as its factorization.

102211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283171 (or 283152 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102211013 is about 10109.9462412023. The cubic root of 102211013 is about 467.5548476738.

Adding to 102211013 its reverse (310112201), we get a palindrome (412323214).

The spelling of 102211013 in words is "one hundred two million, two hundred eleven thousand, thirteen".