201002221201122 has 192 divisors, whose sum is σ = 480312050400000. Its totient is φ = 60243478364160.

The previous prime is 201002221201109. The next prime is 201002221201141. The reversal of 201002221201122 is 221102122200102.

It is a happy number.

201002221201122 is a `hidden beast` number, since 20 + 100 + 2 + 221 + 201 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201002221201095 and 201002221201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23445956428 + ... + 23445965000.

It is an arithmetic number, because the mean of its divisors is an integer number (2501625262500).

Almost surely, 2^{201002221201122} is an apocalyptic number.

201002221201122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002221201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240156025200000).

201002221201122 is an abundant number, since it is smaller than the sum of its proper divisors (279309829198878).

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

201002221201122 is a wasteful number, since it uses less digits than its factorization.

201002221201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10790 counting only the distinct ones).

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

Adding to 201002221201122 its reverse (221102122200102), we get a palindrome (422104343401224).

It can be divided in two parts, 20100 and 2221201122, that added together give a palindrome (2221221222).

The spelling of 201002221201122 in words is "two hundred one trillion, two billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty-two".