101217116 has 96 divisors (see below), whose sum is σ = 251983872. Its totient is φ = 34237440.

The previous prime is 101217097. The next prime is 101217131. The reversal of 101217116 is 611712101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67325 + ... + 68811.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2^101217116 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 101217116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

101217116 is an abundant number, since it is smaller than the sum of its proper divisors (150766756).

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

101217116 is a wasteful number, since it uses less digits than its factorization.

101217116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 20.

The square root of 101217116 is about 10060.6717469561. The cubic root of 101217116 is about 466.0344120424.

Adding to 101217116 its reverse (611712101), we get a palindrome (712929217).

The spelling of 101217116 in words is "one hundred one million, two hundred seventeen thousand, one hundred sixteen".