201012211020016 has 80 divisors (see below), whose sum is σ = 429083036928000. Its totient is φ = 90462829743360.

The previous prime is 201012211019957. The next prime is 201012211020017. The reversal of 201012211020016 is 610020112210102.

201012211020016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201012211019975 and 201012211020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012211020017) 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, 84077110 + ... + 86434858.

It is an arithmetic number, because the mean of its divisors is an integer number (5363537961600).

Almost surely, 2^{201012211020016} 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 201012211020016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214541518464000).

201012211020016 is an abundant number, since it is smaller than the sum of its proper divisors (228070825907984).

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

201012211020016 is a wasteful number, since it uses less digits than its factorization.

201012211020016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362574 (or 2362568 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 201012211020016 its reverse (610020112210102), we get a palindrome (811032323230118).

The spelling of 201012211020016 in words is "two hundred one trillion, twelve billion, two hundred eleven million, twenty thousand, sixteen".