201012021012000 has 1152 divisors, whose sum is σ = 730087438639104. Its totient is φ = 48310225920000.

The previous prime is 201012021011957. The next prime is 201012021012029. The reversal of 201012021012000 is 210120210102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100656995002 + ... + 100656996998.

It is an arithmetic number, because the mean of its divisors is an integer number (633756457152).

Almost surely, 2^{201012021012000} is an apocalyptic number.

201012021012000 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 201012021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365043719319552).

201012021012000 is an abundant number, since it is smaller than the sum of its proper divisors (529075417627104).

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

201012021012000 is a wasteful number, since it uses less digits than its factorization.

201012021012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201012021012000 its reverse (210120210102), we get a palindrome (201222141222102).

The spelling of 201012021012000 in words is "two hundred one trillion, twelve billion, twenty-one million, twelve thousand".