16621065102100 has 72 divisors (see below), whose sum is σ = 36402456218688. Its totient is φ = 6586772236800.

The previous prime is 16621065102077. The next prime is 16621065102107. The reversal of 16621065102100 is 120156012661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16621065102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26207745 + ... + 26834455.

It is an arithmetic number, because the mean of its divisors is an integer number (505589669704).

Almost surely, 2^{16621065102100} is an apocalyptic number.

16621065102100 is a gapful number since it is divisible by the number (10) 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 16621065102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201228109344).

16621065102100 is an abundant number, since it is smaller than the sum of its proper divisors (19781391116588).

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

16621065102100 is a wasteful number, since it uses less digits than its factorization.

16621065102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629185 (or 629178 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 16621065102100 in words is "sixteen trillion, six hundred twenty-one billion, sixty-five million, one hundred two thousand, one hundred".