1010121122221 has 2 divisors, whose sum is σ = 1010121122222. Its totient is φ = 1010121122220.

The previous prime is 1010121122147. The next prime is 1010121122279. The reversal of 1010121122221 is 1222211210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 642746941225 + 367374180996 = 801715^2 + 606114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010121122221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010121122195 and 1010121122204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010121122281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505060561110 + 505060561111.

It is an arithmetic number, because the mean of its divisors is an integer number (505060561111).

Almost surely, 2^{1010121122221} is an apocalyptic number.

It is an amenable number.

1010121122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010121122221 is an equidigital number, since it uses as much as digits as its factorization.

1010121122221 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 1010121122221 its reverse (1222211210101), we get a palindrome (2232332332322).

The spelling of 1010121122221 in words is "one trillion, ten billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".