101125000 has 56 divisors (see below), whose sum is σ = 237301650. Its totient is φ = 40400000.

The previous prime is 101124941. The next prime is 101125009. The reversal of 101125000 is 521101.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 32467204 + 68657796 = 5698^2 + 8286^2 .

It is a super-3 number, since 3×101125000³ (a number of 25 digits) contains 333 as substring.

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 (101125009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124596 + ... + 125404.

Almost surely, 2^101125000 is an apocalyptic number.

101125000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118650825).

101125000 is an abundant number, since it is smaller than the sum of its proper divisors (136176650).

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

101125000 is an frugal number, since it uses more digits than its factorization.

101125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 816 counting only the distinct ones).

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

The square root of 101125000 is about 10056.0926805594. The cubic root of 101125000 is about 465.8929924313.

Adding to 101125000 its reverse (521101), we get a palindrome (101646101).

The spelling of 101125000 in words is "one hundred one million, one hundred twenty-five thousand".