1012112111221 has 2 divisors, whose sum is σ = 1012112111222. Its totient is φ = 1012112111220.

The previous prime is 1012112111207. The next prime is 1012112111267. The reversal of 1012112111221 is 1221112112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 576035460900 + 436076650321 = 758970^2 + 660361^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012112111221 - 2⁵ = 1012112111189 is a prime.

It is a super-2 number, since 2×1012112111221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012112111195 and 1012112111204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012112115221) 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, 506056055610 + 506056055611.

It is an arithmetic number, because the mean of its divisors is an integer number (506056055611).

Almost surely, 2^{1012112111221} is an apocalyptic number.

It is an amenable number.

1012112111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012112111221 is an equidigital number, since it uses as much as digits as its factorization.

1012112111221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1012112111221 its reverse (1221112112101), we get a palindrome (2233224223322).

The spelling of 1012112111221 in words is "one trillion, twelve billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty-one".