101218816 has 80 divisors (see below), whose sum is σ = 222072840. Its totient is φ = 45875200.

The previous prime is 101218811. The next prime is 101218889. The reversal of 101218816 is 618812101.

It can be written as a sum of positive squares in 4 ways, for example, as 100000000 + 1218816 = 10000^2 + 1104^2 .

It is not an unprimeable number, because it can be changed into a prime (101218811) 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, 252216 + ... + 252616.

Almost surely, 2^101218816 is an apocalyptic number.

101218816 is a gapful number since it is divisible by the number (16) 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 101218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111036420).

101218816 is an abundant number, since it is smaller than the sum of its proper divisors (120854024).

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

101218816 is an equidigital number, since it uses as much as digits as its factorization.

101218816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 28.

The square root of 101218816 is about 10060.7562340015. The cubic root of 101218816 is about 466.0370211337.

The spelling of 101218816 in words is "one hundred one million, two hundred eighteen thousand, eight hundred sixteen".