201002221200000 has 1536 divisors, whose sum is σ = 756420306001920. Its totient is φ = 46860800000000.

The previous prime is 201002221199933. The next prime is 201002221200059. The reversal of 201002221200000 is 2122200102.

It is a super-3 number, since 3×201002221200000³ (a number of 44 digits) contains 333 as substring.

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, 38425197385 + ... + 38425202615.

It is an arithmetic number, because the mean of its divisors is an integer number (492461136720).

Almost surely, 2^{201002221200000} is an apocalyptic number.

201002221200000 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 201002221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378210153000960).

201002221200000 is an abundant number, since it is smaller than the sum of its proper divisors (555418084801920).

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

201002221200000 is an equidigital number, since it uses as much as digits as its factorization.

201002221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201002221200000 its reverse (2122200102), we get a palindrome (201004343400102).

The spelling of 201002221200000 in words is "two hundred one trillion, two billion, two hundred twenty-one million, two hundred thousand".