201201210023000 has 256 divisors, whose sum is σ = 525010830888960. Its totient is φ = 71543081664000.

The previous prime is 201201210022999. The next prime is 201201210023017. The reversal of 201201210023000 is 320012102102.

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 (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 577314797 + ... + 577663203.

It is an arithmetic number, because the mean of its divisors is an integer number (2050823558160).

Almost surely, 2^{201201210023000} is an apocalyptic number.

201201210023000 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 201201210023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262505415444480).

201201210023000 is an abundant number, since it is smaller than the sum of its proper divisors (323809620865960).

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

201201210023000 is a wasteful number, since it uses less digits than its factorization.

201201210023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349603 (or 349589 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201201210023000 its reverse (320012102102), we get a palindrome (201521222125102).

The spelling of 201201210023000 in words is "two hundred one trillion, two hundred one billion, two hundred ten million, twenty-three thousand".