1001100125 has 8 divisors (see below), whose sum is σ = 1249373112. Its totient is φ = 800880000.

The previous prime is 1001100091. The next prime is 1001100127. The reversal of 1001100125 is 5210011001.

It can be written as a sum of positive squares in 4 ways, for example, as 109599961 + 891500164 = 10469^2 + 29858^2 .

It is not a de Polignac number, because 1001100125 - 2¹⁰ = 1001099101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4004276 + ... + 4004525.

It is an arithmetic number, because the mean of its divisors is an integer number (156171639).

Almost surely, 2^1001100125 is an apocalyptic number.

It is an amenable number.

1001100125 is a deficient number, since it is larger than the sum of its proper divisors (248272987).

1001100125 is an frugal number, since it uses more digits than its factorization.

1001100125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008816 (or 8008806 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

The square root of 1001100125 is about 31640.1663238359. The cubic root of 1001100125 is about 1000.3665739405.

Adding to 1001100125 its reverse (5210011001), we get a palindrome (6211111126).

The spelling of 1001100125 in words is "one billion, one million, one hundred thousand, one hundred twenty-five".