201001221001000 has 256 divisors, whose sum is σ = 538526628057600. Its totient is φ = 68787643392000.

The previous prime is 201001221000929. The next prime is 201001221001033. The reversal of 201001221001000 is 100122100102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9847680795 + ... + 9847701205.

It is an arithmetic number, because the mean of its divisors is an integer number (2103619640850).

Almost surely, 2^{201001221001000} is an apocalyptic number.

201001221001000 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 201001221001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269263314028800).

201001221001000 is an abundant number, since it is smaller than the sum of its proper divisors (337525407056600).

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

201001221001000 is a wasteful number, since it uses less digits than its factorization.

201001221001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22965 (or 22951 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201001221001000 its reverse (100122100102), we get a palindrome (201101343101102).

The spelling of 201001221001000 in words is "two hundred one trillion, one billion, two hundred twenty-one million, one thousand".