101120516 has 30 divisors (see below), whose sum is σ = 206461710. Its totient is φ = 43333248.

The previous prime is 101120497. The next prime is 101120521. The reversal of 101120516 is 615021101.

It can be written as a sum of positive squares in only one way, i.e., 96040000 + 5080516 = 9800^2 + 2254^2 .

It is a super-2 number, since 2×101120516² = 20450717512212512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101120494 and 101120503.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 4340 + ... + 14868.

It is an arithmetic number, because the mean of its divisors is an integer number (6882057).

Almost surely, 2^101120516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103230855).

101120516 is an abundant number, since it is smaller than the sum of its proper divisors (105341194).

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

101120516 is an equidigital number, since it uses as much as digits as its factorization.

101120516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10561 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 101120516 is about 10055.8697286709. The cubic root of 101120516 is about 465.8861062507.

Adding to 101120516 its reverse (615021101), we get a palindrome (716141617).

The spelling of 101120516 in words is "one hundred one million, one hundred twenty thousand, five hundred sixteen".