200211001101216 has 720 divisors, whose sum is σ = 692118803115432. Its totient is φ = 56604925440000.

The previous prime is 200211001101203. The next prime is 200211001101247. The reversal of 200211001101216 is 612101100112002.

It can be written as a sum of positive squares in 4 ways, for example, as 199896051171600 + 314949929616 = 14138460^2 + 561204^2 .

It is a super-2 number, since 2×200211001101216² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31774477266 + ... + 31774483566.

Almost surely, 2^{200211001101216} 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 200211001101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346059401557716).

200211001101216 is an abundant number, since it is smaller than the sum of its proper divisors (491907802014216).

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

200211001101216 is a wasteful number, since it uses less digits than its factorization.

200211001101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8915 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 200211001101216 its reverse (612101100112002), we get a palindrome (812312101213218).

The spelling of 200211001101216 in words is "two hundred trillion, two hundred eleven billion, one million, one hundred one thousand, two hundred sixteen".