100216242672 has 480 divisors, whose sum is σ = 341753126400. Its totient is φ = 24574150656.

The previous prime is 100216242667. The next prime is 100216242733. The reversal of 100216242672 is 276242612001.

It is a congruent number.

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, 372550954 + ... + 372551222.

It is an arithmetic number, because the mean of its divisors is an integer number (711985680).

Almost surely, 2^100216242672 is an apocalyptic number.

100216242672 is a gapful number since it is divisible by the number (12) 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 100216242672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170876563200).

100216242672 is an abundant number, since it is smaller than the sum of its proper divisors (241536883728).

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

100216242672 is a wasteful number, since it uses less digits than its factorization.

100216242672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 100216242672 its reverse (276242612001), we get a palindrome (376458854673).

The spelling of 100216242672 in words is "one hundred billion, two hundred sixteen million, two hundred forty-two thousand, six hundred seventy-two".