201211121222010 has 96 divisors (see below), whose sum is σ = 528065460561600. Its totient is φ = 53152089790464.

The previous prime is 201211121221949. The next prime is 201211121222063. The reversal of 201211121222010 is 10222121112102.

201211121222010 is a `hidden beast` number, since 20 + 1 + 211 + 1 + 212 + 220 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189171034 + ... + 190231706.

It is an arithmetic number, because the mean of its divisors is an integer number (5500681880850).

Almost surely, 2^{201211121222010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201211121222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264032730280800).

201211121222010 is an abundant number, since it is smaller than the sum of its proper divisors (326854339339590).

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

201211121222010 is a wasteful number, since it uses less digits than its factorization.

201211121222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080492 (or 1080489 counting only the distinct ones).

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

Adding to 201211121222010 its reverse (10222121112102), we get a palindrome (211433242334112).

The spelling of 201211121222010 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, ten".