102212101 has 8 divisors (see below), whose sum is σ = 104298264. Its totient is φ = 100147200.

The previous prime is 102212059. The next prime is 102212107. The reversal of 102212101 is 101212201.

It is a Cunningham number, because it is equal to 10110²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 45887076 + 56325025 = 6774^2 + 7505^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102212101 - 2²⁵ = 68657669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4581 + ... + 15013.

It is an arithmetic number, because the mean of its divisors is an integer number (13037283).

Almost surely, 2^102212101 is an apocalyptic number.

It is an amenable number.

102212101 is a deficient number, since it is larger than the sum of its proper divisors (2086163).

102212101 is a wasteful number, since it uses less digits than its factorization.

102212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10631.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 102212101 is about 10110.0000494560. Note that the first 4 decimals coincide. The cubic root of 102212101 is about 467.5565066531.

Adding to 102212101 its reverse (101212201), we get a palindrome (203424302).

The spelling of 102212101 in words is "one hundred two million, two hundred twelve thousand, one hundred one".