101200214016 has 144 divisors (see below), whose sum is σ = 318856781880. Its totient is φ = 30666670080.

The previous prime is 101200213999. The next prime is 101200214029. The reversal of 101200214016 is 610412002101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 101200214016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46815 + ... + 452318.

Almost surely, 2^101200214016 is an apocalyptic number.

101200214016 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 101200214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159428390940).

101200214016 is an abundant number, since it is smaller than the sum of its proper divisors (217656567864).

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

101200214016 is a wasteful number, since it uses less digits than its factorization.

101200214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499172 (or 499149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101200214016 its reverse (610412002101), we get a palindrome (711612216117).

The spelling of 101200214016 in words is "one hundred one billion, two hundred million, two hundred fourteen thousand, sixteen".