1022111212121 has 2 divisors, whose sum is σ = 1022111212122. Its totient is φ = 1022111212120.

The previous prime is 1022111212117. The next prime is 1022111212123. The reversal of 1022111212121 is 1212121112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1021031432521 + 1079779600 = 1010461^2 + 32860^2 .

It is an emirp because it is prime and its reverse (1212121112201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022111212121 - 2² = 1022111212117 is a prime.

It is a super-2 number, since 2×1022111212121² (a number of 25 digits) contains 22 as substring.

Together with 1022111212123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022111212121.

It is not a weakly prime, because it can be changed into another prime (1022111212123) 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, 511055606060 + 511055606061.

It is an arithmetic number, because the mean of its divisors is an integer number (511055606061).

Almost surely, 2^{1022111212121} is an apocalyptic number.

It is an amenable number.

1022111212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022111212121 is an equidigital number, since it uses as much as digits as its factorization.

1022111212121 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 17.

Adding to 1022111212121 its reverse (1212121112201), we get a palindrome (2234232324322).

The spelling of 1022111212121 in words is "one trillion, twenty-two billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty-one".