201001012012000 has 96 divisors (see below), whose sum is σ = 494137421537760. Its totient is φ = 80355156940800.

The previous prime is 201001012011979. The next prime is 201001012012001. The reversal of 201001012012000 is 210210100102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001012012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7031070 + ... + 21247069.

It is an arithmetic number, because the mean of its divisors is an integer number (5147264807685).

Almost surely, 2^{201001012012000} is an apocalyptic number.

201001012012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001012012000 is an abundant number, since it is smaller than the sum of its proper divisors (293136409525760).

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

201001012012000 is a wasteful number, since it uses less digits than its factorization.

201001012012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28279941 (or 28279923 counting only the distinct ones).

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

Adding to 201001012012000 its reverse (210210100102), we get a palindrome (201211222112102).

The spelling of 201001012012000 in words is "two hundred one trillion, one billion, twelve million, twelve thousand".