101216144 has 20 divisors (see below), whose sum is σ = 196927500. Its totient is φ = 50396160.

The previous prime is 101216099. The next prime is 101216153. The reversal of 101216144 is 441612101.

It can be written as a sum of positive squares in 2 ways, for example, as 77088400 + 24127744 = 8780^2 + 4912^2 .

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 3 ways as a sum of consecutive naturals, for example, 9269 + ... + 16980.

It is an arithmetic number, because the mean of its divisors is an integer number (9846375).

Almost surely, 2^101216144 is an apocalyptic number.

It is an amenable number.

101216144 is a deficient number, since it is larger than the sum of its proper divisors (95711356).

101216144 is a wasteful number, since it uses less digits than its factorization.

101216144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26498 (or 26492 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 101216144 is about 10060.6234399266. The cubic root of 101216144 is about 466.0329202430.

Adding to 101216144 its reverse (441612101), we get a palindrome (542828245).

The spelling of 101216144 in words is "one hundred one million, two hundred sixteen thousand, one hundred forty-four".