201002022221120 has 224 divisors, whose sum is σ = 505410745132800. Its totient is φ = 75990414393344.

The previous prime is 201002022221101. The next prime is 201002022221131. The reversal of 201002022221120 is 21122220200102.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 306017216 + ... + 306673344.

Almost surely, 2^{201002022221120} is an apocalyptic number.

201002022221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002022221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252705372566400).

201002022221120 is an abundant number, since it is smaller than the sum of its proper divisors (304408722911680).

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

201002022221120 is a wasteful number, since it uses less digits than its factorization.

201002022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656665 (or 656655 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201002022221120 its reverse (21122220200102), we get a palindrome (222124242421222).

The spelling of 201002022221120 in words is "two hundred one trillion, two billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".