102211121 has 2 divisors, whose sum is σ = 102211122. Its totient is φ = 102211120.

The previous prime is 102211093. The next prime is 102211147. The reversal of 102211121 is 121112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91393600 + 10817521 = 9560^2 + 3289^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211121 - 2²² = 98016817 is a prime.

It is a super-2 number, since 2×102211121² = 20894226512153282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102211721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105560 + 51105561.

It is an arithmetic number, because the mean of its divisors is an integer number (51105561).

Almost surely, 2^102211121 is an apocalyptic number.

It is an amenable number.

102211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211121 is an equidigital number, since it uses as much as digits as its factorization.

102211121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 102211121 is about 10109.9515824756. The cubic root of 102211121 is about 467.5550123524. Note that the first 3 decimals are identical.

Adding to 102211121 its reverse (121112201), we get a palindrome (223323322).

The spelling of 102211121 in words is "one hundred two million, two hundred eleven thousand, one hundred twenty-one".