201022010112000 has 1536 divisors, whose sum is σ = 835440659988480. Its totient is φ = 41692446720000.

The previous prime is 201022010111939. The next prime is 201022010112107. The reversal of 201022010112000 is 211010220102.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34712829105 + ... + 34712834895.

It is an arithmetic number, because the mean of its divisors is an integer number (543906679680).

Almost surely, 2^{201022010112000} is an apocalyptic number.

201022010112000 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 201022010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417720329994240).

201022010112000 is an abundant number, since it is smaller than the sum of its proper divisors (634418649876480).

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

201022010112000 is a wasteful number, since it uses less digits than its factorization.

201022010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6406 counting only the distinct ones).

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

Adding to 201022010112000 its reverse (211010220102), we get a palindrome (201233020332102).

The spelling of 201022010112000 in words is "two hundred one trillion, twenty-two billion, ten million, one hundred twelve thousand".