101001216 has 96 divisors (see below), whose sum is σ = 285405120. Its totient is φ = 31653888.

The previous prime is 101001181. The next prime is 101001217. The reversal of 101001216 is 612100101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101001217) 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, 103965 + ... + 104931.

It is an arithmetic number, because the mean of its divisors is an integer number (2972970).

Almost surely, 2^101001216 is an apocalyptic number.

101001216 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 101001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702560).

101001216 is an abundant number, since it is smaller than the sum of its proper divisors (184403904).

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

101001216 is an equidigital number, since it uses as much as digits as its factorization.

101001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101001216 is about 10049.9361192000. The cubic root of 101001216 is about 465.7028197246.

Adding to 101001216 its reverse (612100101), we get a palindrome (713101317).

The spelling of 101001216 in words is "one hundred one million, one thousand, two hundred sixteen".