102205251121 has 2 divisors, whose sum is σ = 102205251122. Its totient is φ = 102205251120.

The previous prime is 102205251091. The next prime is 102205251221. The reversal of 102205251121 is 121152502201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101544195600 + 661055521 = 318660^2 + 25711^2 .

It is a cyclic number.

It is not a de Polignac number, because 102205251121 - 2⁷ = 102205250993 is a prime.

It is a super-3 number, since 3×102205251121³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102205251092 and 102205251101.

It is not a weakly prime, because it can be changed into another prime (102205251221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51102625560 + 51102625561.

It is an arithmetic number, because the mean of its divisors is an integer number (51102625561).

Almost surely, 2^102205251121 is an apocalyptic number.

It is an amenable number.

102205251121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102205251121 is an equidigital number, since it uses as much as digits as its factorization.

102205251121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 102205251121 its reverse (121152502201), we get a palindrome (223357753322).

The spelling of 102205251121 in words is "one hundred two billion, two hundred five million, two hundred fifty-one thousand, one hundred twenty-one".