201221331201000 has 384 divisors, whose sum is σ = 781008351177600. Its totient is φ = 46213511040000.

The previous prime is 201221331200957. The next prime is 201221331201029. The reversal of 201221331201000 is 102133122102.

It is a super-2 number, since 2×201221331201000² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 51606861 + ... + 55368860.

It is an arithmetic number, because the mean of its divisors is an integer number (2033875914525).

Almost surely, 2^{201221331201000} is an apocalyptic number.

201221331201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221331201000 is an abundant number, since it is smaller than the sum of its proper divisors (579787019976600).

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

201221331201000 is a wasteful number, since it uses less digits than its factorization.

201221331201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106975778 (or 106975761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201221331201000 its reverse (102133122102), we get a palindrome (201323464323102).

The spelling of 201221331201000 in words is "two hundred one trillion, two hundred twenty-one billion, three hundred thirty-one million, two hundred one thousand".