201012211102212 has 36 divisors (see below), whose sum is σ = 508301489217340. Its totient is φ = 66979372925952.

The previous prime is 201012211102201. The next prime is 201012211102243. The reversal of 201012211102212 is 212201112210102.

201012211102212 is a `hidden beast` number, since 20 + 101 + 221 + 110 + 2 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142734010813956 + 58278200288256 = 11947134^2 + 7634016^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×201012211102212³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1028961037 + ... + 1029156372.

Almost surely, 2^{201012211102212} is an apocalyptic number.

It is an amenable number.

201012211102212 is an abundant number, since it is smaller than the sum of its proper divisors (307289278115128).

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

201012211102212 is a wasteful number, since it uses less digits than its factorization.

201012211102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058120132 (or 2058120127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201012211102212 its reverse (212201112210102), we get a palindrome (413213323312314).

The spelling of 201012211102212 in words is "two hundred one trillion, twelve billion, two hundred eleven million, one hundred two thousand, two hundred twelve".