100201616196 has 96 divisors (see below), whose sum is σ = 260662219776. Its totient is φ = 29700528000.

The previous prime is 100201616191. The next prime is 100201616197. The reversal of 100201616196 is 691616102001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (100201616191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2294041 + ... + 2337311.

It is an arithmetic number, because the mean of its divisors is an integer number (2715231456).

Almost surely, 2^100201616196 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 100201616196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130331109888).

100201616196 is an abundant number, since it is smaller than the sum of its proper divisors (160460603580).

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

100201616196 is a wasteful number, since it uses less digits than its factorization.

100201616196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43673 (or 43671 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

Adding to 100201616196 its reverse (691616102001), we get a palindrome (791817718197).

The spelling of 100201616196 in words is "one hundred billion, two hundred one million, six hundred sixteen thousand, one hundred ninety-six".