201211000222112 has 96 divisors (see below), whose sum is σ = 426560775359040. Its totient is φ = 93079268904960.

The previous prime is 201211000222087. The next prime is 201211000222147. The reversal of 201211000222112 is 211222000112102.

It is a super-3 number, since 3×201211000222112³ (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 (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025593787 + ... + 1025789957.

It is an arithmetic number, because the mean of its divisors is an integer number (4443341409990).

Almost surely, 2^{201211000222112} 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 201211000222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213280387679520).

201211000222112 is an abundant number, since it is smaller than the sum of its proper divisors (225349775136928).

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

201211000222112 is a wasteful number, since it uses less digits than its factorization.

201211000222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228214 (or 228206 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201211000222112 its reverse (211222000112102), we get a palindrome (412433000334214).

The spelling of 201211000222112 in words is "two hundred one trillion, two hundred eleven billion, two hundred twenty-two thousand, one hundred twelve".