1011122101111 has 2 divisors, whose sum is σ = 1011122101112. Its totient is φ = 1011122101110.

The previous prime is 1011122101103. The next prime is 1011122101117. The reversal of 1011122101111 is 1111012211101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1011122101111 - 2³ = 1011122101103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011122101091 and 1011122101100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011122101117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505561050555 + 505561050556.

It is an arithmetic number, because the mean of its divisors is an integer number (505561050556).

Almost surely, 2^{1011122101111} is an apocalyptic number.

1011122101111 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011122101111 is an equidigital number, since it uses as much as digits as its factorization.

1011122101111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1011122101111 its reverse (1111012211101), we get a palindrome (2122134312212).

The spelling of 1011122101111 in words is "one trillion, eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred eleven".