216351012100 has 72 divisors (see below), whose sum is σ = 477603493920. Its totient is φ = 85054126080.

The previous prime is 216351012071. The next prime is 216351012103. The reversal of 216351012100 is 1210153612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (216351012103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534371 + ... + 1669429.

It is an arithmetic number, because the mean of its divisors is an integer number (6633381860).

Almost surely, 2^216351012100 is an apocalyptic number.

216351012100 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 216351012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238801746960).

216351012100 is an abundant number, since it is smaller than the sum of its proper divisors (261252481820).

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

216351012100 is a wasteful number, since it uses less digits than its factorization.

216351012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135349 (or 135342 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 216351012100 its reverse (1210153612), we get a palindrome (217561165712).

The spelling of 216351012100 in words is "two hundred sixteen billion, three hundred fifty-one million, twelve thousand, one hundred".