101065200216 has 128 divisors (see below), whose sum is σ = 276164640000. Its totient is φ = 30699164160.

The previous prime is 101065200097. The next prime is 101065200241. The reversal of 101065200216 is 612002560101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3543051 + ... + 3571461.

It is an arithmetic number, because the mean of its divisors is an integer number (2157536250).

Almost surely, 2^101065200216 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 101065200216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138082320000).

101065200216 is an abundant number, since it is smaller than the sum of its proper divisors (175099439784).

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

101065200216 is a wasteful number, since it uses less digits than its factorization.

101065200216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28737 (or 28733 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 101065200216 its reverse (612002560101), we get a palindrome (713067760317).

The spelling of 101065200216 in words is "one hundred one billion, sixty-five million, two hundred thousand, two hundred sixteen".