1077101127 has 12 divisors (see below), whose sum is σ = 1637697880. Its totient is φ = 680274288.

The previous prime is 1077101101. The next prime is 1077101141. The reversal of 1077101127 is 7211017701.

It is not a de Polignac number, because 1077101127 - 2¹⁰ = 1077100103 is a prime.

It is a super-4 number, since 4×1077101127⁴ (a number of 37 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1077101127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077101167) 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 in 11 ways as a sum of consecutive naturals, for example, 3149248 + ... + 3149589.

Almost surely, 2^1077101127 is an apocalyptic number.

1077101127 is a deficient number, since it is larger than the sum of its proper divisors (560596753).

1077101127 is a wasteful number, since it uses less digits than its factorization.

1077101127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298862 (or 6298859 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 27.

The square root of 1077101127 is about 32819.2188663899. The cubic root of 1077101127 is about 1025.0667819269.

Adding to 1077101127 its reverse (7211017701), we get a palindrome (8288118828).

The spelling of 1077101127 in words is "one billion, seventy-seven million, one hundred one thousand, one hundred twenty-seven".