1011122377 has 2 divisors, whose sum is σ = 1011122378. Its totient is φ = 1011122376.

The previous prime is 1011122309. The next prime is 1011122419. The reversal of 1011122377 is 7732211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 962178361 + 48944016 = 31019^2 + 6996^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011122377 - 2¹⁵ = 1011089609 is a prime.

It is a super-2 number, since 2×1011122377² = 2044736922540260258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1011120377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505561188 + 505561189.

It is an arithmetic number, because the mean of its divisors is an integer number (505561189).

Almost surely, 2^1011122377 is an apocalyptic number.

It is an amenable number.

1011122377 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011122377 is an equidigital number, since it uses as much as digits as its factorization.

1011122377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 1011122377 is about 31798.1505279788. The cubic root of 1011122377 is about 1003.6937980563.

Adding to 1011122377 its reverse (7732211101), we get a palindrome (8743333478).

The spelling of 1011122377 in words is "one billion, eleven million, one hundred twenty-two thousand, three hundred seventy-seven".