102213101 has 2 divisors, whose sum is σ = 102213102. Its totient is φ = 102213100.

The previous prime is 102213079. The next prime is 102213113. The reversal of 102213101 is 101312201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101404900 + 808201 = 10070^2 + 899^2 .

It is a cyclic number.

It is not a de Polignac number, because 102213101 - 2⁶ = 102213037 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102213151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106550 + 51106551.

It is an arithmetic number, because the mean of its divisors is an integer number (51106551).

Almost surely, 2^102213101 is an apocalyptic number.

It is an amenable number.

102213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213101 is an equidigital number, since it uses as much as digits as its factorization.

102213101 is an evil number, because the sum of its binary digits is even.

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

The square root of 102213101 is about 10110.0495053190. The cubic root of 102213101 is about 467.5580314399.

Adding to 102213101 its reverse (101312201), we get a palindrome (203525302).

The spelling of 102213101 in words is "one hundred two million, two hundred thirteen thousand, one hundred one".