10202201220000 has 480 divisors, whose sum is σ = 34103432208384. Its totient is φ = 2669040000000.

The previous prime is 10202201219953. The next prime is 10202201220103. The reversal of 10202201220000 is 2210220201.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1009014945 + ... + 1009025055.

Almost surely, 2^{10202201220000} is an apocalyptic number.

10202201220000 is a gapful number since it is divisible by the number (10) 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 10202201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17051716104192).

10202201220000 is an abundant number, since it is smaller than the sum of its proper divisors (23901230988384).

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

10202201220000 is a wasteful number, since it uses less digits than its factorization.

10202201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10462 (or 10439 counting only the distinct ones).

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

Adding to 10202201220000 its reverse (2210220201), we get a palindrome (10204411440201).

The spelling of 10202201220000 in words is "ten trillion, two hundred two billion, two hundred one million, two hundred twenty thousand".