1021101222121 has 2 divisors, whose sum is σ = 1021101222122. Its totient is φ = 1021101222120.

The previous prime is 1021101222083. The next prime is 1021101222143. The reversal of 1021101222121 is 1212221011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 861065220096 + 160036002025 = 927936^2 + 400045^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021101222121 - 2¹³ = 1021101213929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021101222095 and 1021101222104.

It is not a weakly prime, because it can be changed into another prime (1021101322121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510550611060 + 510550611061.

It is an arithmetic number, because the mean of its divisors is an integer number (510550611061).

Almost surely, 2^{1021101222121} is an apocalyptic number.

It is an amenable number.

1021101222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021101222121 is an equidigital number, since it uses as much as digits as its factorization.

1021101222121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1021101222121 its reverse (1212221011201), we get a palindrome (2233322233322).

It can be divided in two parts, 102110 and 1222121, that added together give a palindrome (1324231).

The spelling of 1021101222121 in words is "one trillion, twenty-one billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty-one".