201202202201000 has 1024 divisors, whose sum is σ = 643508128972800. Its totient is φ = 56855126016000.

The previous prime is 201202202200933. The next prime is 201202202201093. The reversal of 201202202201000 is 102202202102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15262240409 + ... + 15262253591.

It is an arithmetic number, because the mean of its divisors is an integer number (628425907200).

Almost surely, 2^{201202202201000} is an apocalyptic number.

201202202201000 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 201202202201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321754064486400).

201202202201000 is an abundant number, since it is smaller than the sum of its proper divisors (442305926771800).

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

201202202201000 is a wasteful number, since it uses less digits than its factorization.

201202202201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13507 (or 13493 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201202202201000 its reverse (102202202102), we get a palindrome (201304404403102).

The spelling of 201202202201000 in words is "two hundred one trillion, two hundred two billion, two hundred two million, two hundred one thousand".