102102211221121 has 2 divisors, whose sum is σ = 102102211221122. Its totient is φ = 102102211221120.

The previous prime is 102102211221047. The next prime is 102102211221187. The reversal of 102102211221121 is 121122112201201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59642195882896 + 42460015338225 = 7722836^2 + 6516135^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102211221121 - 2¹⁵ = 102102211188353 is a prime.

It is not a weakly prime, because it can be changed into another prime (102102211225121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051105610560 + 51051105610561.

It is an arithmetic number, because the mean of its divisors is an integer number (51051105610561).

Almost surely, 2^{102102211221121} is an apocalyptic number.

It is an amenable number.

102102211221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102211221121 is an equidigital number, since it uses as much as digits as its factorization.

102102211221121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102102211221121 its reverse (121122112201201), we get a palindrome (223224323422322).

The spelling of 102102211221121 in words is "one hundred two trillion, one hundred two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".