102212211220121 has 2 divisors, whose sum is σ = 102212211220122. Its totient is φ = 102212211220120.

The previous prime is 102212211220103. The next prime is 102212211220127. The reversal of 102212211220121 is 121022112212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55400273514496 + 46811937705625 = 7443136^2 + 6841925^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212211220121 - 2⁶ = 102212211220057 is a prime.

It is a super-2 number, since 2×102212211220121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212211220093 and 102212211220102.

It is not a weakly prime, because it can be changed into another prime (102212211220127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106105610060 + 51106105610061.

It is an arithmetic number, because the mean of its divisors is an integer number (51106105610061).

Almost surely, 2^{102212211220121} is an apocalyptic number.

It is an amenable number.

102212211220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212211220121 is an equidigital number, since it uses as much as digits as its factorization.

102212211220121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102212211220121 its reverse (121022112212201), we get a palindrome (223234323432322).

The spelling of 102212211220121 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty-one".