100216217006064 has 360 divisors, whose sum is σ = 308350010621952. Its totient is φ = 30346584606720.

The previous prime is 100216217006057. The next prime is 100216217006069. The reversal of 100216217006064 is 460600712612001.

100216217006064 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 6 + 21 + 7 + 0 + 0 + 606 + 4 = 666.

It is a super-2 number, since 2×100216217006064² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100216217006069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 494005357 + ... + 494208179.

Almost surely, 2^{100216217006064} 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 100216217006064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154175005310976).

100216217006064 is an abundant number, since it is smaller than the sum of its proper divisors (208133793615888).

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

100216217006064 is a wasteful number, since it uses less digits than its factorization.

100216217006064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203285 (or 203259 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 100216217006064 its reverse (460600712612001), we get a palindrome (560816929618065).

The spelling of 100216217006064 in words is "one hundred trillion, two hundred sixteen billion, two hundred seventeen million, six thousand, sixty-four".