201012012201000 has 512 divisors, whose sum is σ = 842057605509120. Its totient is φ = 38555750016000.

The previous prime is 201012012200971. The next prime is 201012012201019. The reversal of 201012012201000 is 102210210102.

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 127 ways as a sum of consecutive naturals, for example, 30465534 + ... + 36471533.

It is an arithmetic number, because the mean of its divisors is an integer number (1644643760760).

Almost surely, 2^{201012012201000} is an apocalyptic number.

201012012201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012012201000 is an abundant number, since it is smaller than the sum of its proper divisors (641045593308120).

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

201012012201000 is a wasteful number, since it uses less digits than its factorization.

201012012201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66937122 (or 66937108 counting only the distinct ones).

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

Adding to 201012012201000 its reverse (102210210102), we get a palindrome (201114222411102).

The spelling of 201012012201000 in words is "two hundred one trillion, twelve billion, twelve million, two hundred one thousand".