1011122011007 has 2 divisors, whose sum is σ = 1011122011008. Its totient is φ = 1011122011006.

The previous prime is 1011122010979. The next prime is 1011122011021. The reversal of 1011122011007 is 7001102211101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1011122011007 - 2¹⁸ = 1011121748863 is a prime.

It is a super-2 number, since 2×1011122011007² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011122011607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505561005503 + 505561005504.

It is an arithmetic number, because the mean of its divisors is an integer number (505561005504).

Almost surely, 2^{1011122011007} is an apocalyptic number.

1011122011007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011122011007 is an equidigital number, since it uses as much as digits as its factorization.

1011122011007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 1011122011007 its reverse (7001102211101), we get a palindrome (8012224222108).

The spelling of 1011122011007 in words is "one trillion, eleven billion, one hundred twenty-two million, eleven thousand, seven".