125101000 has 32 divisors (see below), whose sum is σ = 292738680. Its totient is φ = 50040000.

The previous prime is 125100953. The next prime is 125101001. The reversal of 125101000 is 101521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66945124 + 58155876 = 8182^2 + 7626^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (125101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61551 + ... + 63550.

Almost surely, 2^125101000 is an apocalyptic number.

125101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125101000 is an abundant number, since it is smaller than the sum of its proper divisors (167637680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125101000 is a wasteful number, since it uses less digits than its factorization.

125101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125122 (or 125108 counting only the distinct ones).

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

The square root of 125101000 is about 11184.8558327767. The cubic root of 125101000 is about 500.1346304127.

Adding to 125101000 its reverse (101521), we get a palindrome (125202521).

The spelling of 125101000 in words is "one hundred twenty-five million, one hundred one thousand".