21216405065100 has 288 divisors, whose sum is σ = 71344547990016. Its totient is φ = 4767363993600.

The previous prime is 21216405065041. The next prime is 21216405065113. The reversal of 21216405065100 is 156050461212.

It is a super-3 number, since 3×21216405065100³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239887087 + ... + 239975513.

Almost surely, 2^{21216405065100} is an apocalyptic number.

21216405065100 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 21216405065100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35672273995008).

21216405065100 is an abundant number, since it is smaller than the sum of its proper divisors (50128142924916).

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

21216405065100 is a wasteful number, since it uses less digits than its factorization.

21216405065100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90385 (or 90378 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 21216405065100 in words is "twenty-one trillion, two hundred sixteen billion, four hundred five million, sixty-five thousand, one hundred".