1020122223121 has 2 divisors, whose sum is σ = 1020122223122. Its totient is φ = 1020122223120.

The previous prime is 1020122223119. The next prime is 1020122223143. The reversal of 1020122223121 is 1213222210201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 782227038096 + 237895185025 = 884436^2 + 487745^2 .

It is an emirp because it is prime and its reverse (1213222210201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020122223121 - 2¹ = 1020122223119 is a prime.

Together with 1020122223119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1020122223101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510061111560 + 510061111561.

It is an arithmetic number, because the mean of its divisors is an integer number (510061111561).

Almost surely, 2^{1020122223121} is an apocalyptic number.

It is an amenable number.

1020122223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020122223121 is an equidigital number, since it uses as much as digits as its factorization.

1020122223121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1020122223121 its reverse (1213222210201), we get a palindrome (2233344433322).

The spelling of 1020122223121 in words is "one trillion, twenty billion, one hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty-one".