1011222111121 has 2 divisors, whose sum is σ = 1011222111122. Its totient is φ = 1011222111120.

The previous prime is 1011222111113. The next prime is 1011222111127. The reversal of 1011222111121 is 1211112221101.

1011222111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 763552654225 + 247669456896 = 873815^2 + 497664^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011222111121 - 2³ = 1011222111113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011222111095 and 1011222111104.

It is not a weakly prime, because it can be changed into another prime (1011222111127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505611055560 + 505611055561.

It is an arithmetic number, because the mean of its divisors is an integer number (505611055561).

Almost surely, 2^{1011222111121} is an apocalyptic number.

It is an amenable number.

1011222111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011222111121 is an equidigital number, since it uses as much as digits as its factorization.

1011222111121 is an evil number, because the sum of its binary digits is even.

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

Adding to 1011222111121 its reverse (1211112221101), we get a palindrome (2222334332222).

The spelling of 1011222111121 in words is "one trillion, eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".