1011122227121 has 2 divisors, whose sum is σ = 1011122227122. Its totient is φ = 1011122227120.

The previous prime is 1011122227109. The next prime is 1011122227133. The reversal of 1011122227121 is 1217222211101.

It is a balanced prime because it is at equal distance from previous prime (1011122227109) and next prime (1011122227133).

It can be written as a sum of positive squares in only one way, i.e., 632405067121 + 378717160000 = 795239^2 + 615400^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011122227121 - 2²² = 1011118032817 is a prime.

It is a super-2 number, since 2×1011122227121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1011122227021) 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, 505561113560 + 505561113561.

It is an arithmetic number, because the mean of its divisors is an integer number (505561113561).

Almost surely, 2^{1011122227121} is an apocalyptic number.

It is an amenable number.

1011122227121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011122227121 is an equidigital number, since it uses as much as digits as its factorization.

1011122227121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 1011122227121 its reverse (1217222211101), we get a palindrome (2228344438222).

The spelling of 1011122227121 in words is "one trillion, eleven billion, one hundred twenty-two million, two hundred twenty-seven thousand, one hundred twenty-one".