1011122103331 has 2 divisors, whose sum is σ = 1011122103332. Its totient is φ = 1011122103330.

The previous prime is 1011122103307. The next prime is 1011122103337. The reversal of 1011122103331 is 1333012211101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1011122103331 - 2³⁹ = 461366289443 is a prime.

It is a super-2 number, since 2×1011122103331² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011122103299 and 1011122103308.

It is not a weakly prime, because it can be changed into another prime (1011122103337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505561051665 + 505561051666.

It is an arithmetic number, because the mean of its divisors is an integer number (505561051666).

Almost surely, 2^{1011122103331} is an apocalyptic number.

1011122103331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011122103331 is an equidigital number, since it uses as much as digits as its factorization.

1011122103331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1011122103331 its reverse (1333012211101), we get a palindrome (2344134314432).

The spelling of 1011122103331 in words is "one trillion, eleven billion, one hundred twenty-two million, one hundred three thousand, three hundred thirty-one".