101125216 has 24 divisors (see below), whose sum is σ = 201148920. Its totient is φ = 50039808.

The previous prime is 101125187. The next prime is 101125237. The reversal of 101125216 is 612521101.

It is a super-2 number, since 2×101125216² = 20452618622093312, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 101125193 and 101125202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13186 + ... + 19393.

It is an arithmetic number, because the mean of its divisors is an integer number (8381205).

Almost surely, 2^101125216 is an apocalyptic number.

101125216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101125216 is a deficient number, since it is larger than the sum of its proper divisors (100023704).

101125216 is an equidigital number, since it uses as much as digits as its factorization.

101125216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32686 (or 32678 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 101125216 is about 10056.1034203115. The cubic root of 101125216 is about 465.8933241423.

Adding to 101125216 its reverse (612521101), we get a palindrome (713646317).

The spelling of 101125216 in words is "one hundred one million, one hundred twenty-five thousand, two hundred sixteen".