202116110016 has 112 divisors (see below), whose sum is σ = 551825688320. Its totient is φ = 65240017920.

The previous prime is 202116109973. The next prime is 202116110017. The reversal of 202116110016 is 610011611202.

It is a junction number, because it is equal to n+sod(n) for n = 202116109974 and 202116110001.

It is not an unprimeable number, because it can be changed into a prime (202116110017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431525 + ... + 1566363.

Almost surely, 2^202116110016 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 202116110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275912844160).

202116110016 is an abundant number, since it is smaller than the sum of its proper divisors (349709578304).

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

202116110016 is a wasteful number, since it uses less digits than its factorization.

202116110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135102 (or 135092 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 202116110016 its reverse (610011611202), we get a palindrome (812127721218).

The spelling of 202116110016 in words is "two hundred two billion, one hundred sixteen million, one hundred ten thousand, sixteen".