201122121220002 has 96 divisors (see below), whose sum is σ = 450039095491440. Its totient is φ = 64864888750080.

The previous prime is 201122121219983. The next prime is 201122121220277. The reversal of 201122121220002 is 200022121221102.

It is a happy number.

201122121220002 is a `hidden beast` number, since 20 + 11 + 221 + 212 + 200 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 135048779860401 + 66073341359601 = 11621049^2 + 8128551^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3089923074 + ... + 3089988162.

Almost surely, 2^{201122121220002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122121220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225019547745720).

201122121220002 is an abundant number, since it is smaller than the sum of its proper divisors (248916974271438).

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

201122121220002 is a wasteful number, since it uses less digits than its factorization.

201122121220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90948 (or 90945 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201122121220002 its reverse (200022121221102), we get a palindrome (401144242441104).

The spelling of 201122121220002 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, two".