1100022112121 has 2 divisors, whose sum is σ = 1100022112122. Its totient is φ = 1100022112120.

The previous prime is 1100022112117. The next prime is 1100022112127. The reversal of 1100022112121 is 1212112200011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 663305998096 + 436716114025 = 814436^2 + 660845^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100022112121 - 2² = 1100022112117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100022112096 and 1100022112105.

It is not a weakly prime, because it can be changed into another prime (1100022112127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550011056060 + 550011056061.

It is an arithmetic number, because the mean of its divisors is an integer number (550011056061).

Almost surely, 2^{1100022112121} is an apocalyptic number.

It is an amenable number.

1100022112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100022112121 is an equidigital number, since it uses as much as digits as its factorization.

1100022112121 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 14.

Adding to 1100022112121 its reverse (1212112200011), we get a palindrome (2312134312132).

The spelling of 1100022112121 in words is "one trillion, one hundred billion, twenty-two million, one hundred twelve thousand, one hundred twenty-one".