201100414320 has 360 divisors, whose sum is σ = 745131576384. Its totient is φ = 48566089728.

The previous prime is 201100414297. The next prime is 201100414337. The reversal of 201100414320 is 23414001102.

201100414320 is a `hidden beast` number, since 201 + 100 + 41 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×201100414320² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201100414293 and 201100414302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6433449 + ... + 6464631.

Almost surely, 2^201100414320 is an apocalyptic number.

201100414320 is a gapful number since it is divisible by the number (20) 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 201100414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372565788192).

201100414320 is an abundant number, since it is smaller than the sum of its proper divisors (544031162064).

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

201100414320 is a wasteful number, since it uses less digits than its factorization.

201100414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31281 (or 31259 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201100414320 its reverse (23414001102), we get a palindrome (224514415422).

The spelling of 201100414320 in words is "two hundred one billion, one hundred million, four hundred fourteen thousand, three hundred twenty".