102213111 has 64 divisors (see below), whose sum is σ = 185342976. Its totient is φ = 48384000.

The previous prime is 102213101. The next prime is 102213113. The reversal of 102213111 is 111312201.

It is not a de Polignac number, because 102213111 - 2⁵ = 102213079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213113) 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 63 ways as a sum of consecutive naturals, for example, 303135 + ... + 303471.

It is an arithmetic number, because the mean of its divisors is an integer number (2895984).

Almost surely, 2^102213111 is an apocalyptic number.

102213111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102213111 is a deficient number, since it is larger than the sum of its proper divisors (83129865).

102213111 is a wasteful number, since it uses less digits than its factorization.

102213111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

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

The square root of 102213111 is about 10110.0499998764. The cubic root of 102213111 is about 467.5580466877.

Adding to 102213111 its reverse (111312201), we get a palindrome (213525312).

The spelling of 102213111 in words is "one hundred two million, two hundred thirteen thousand, one hundred eleven".