2301221202000 has 960 divisors, whose sum is σ = 9012100331520. Its totient is φ = 503129088000.

The previous prime is 2301221201959. The next prime is 2301221202001. The reversal of 2301221202000 is 2021221032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301221202001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 811144582 + ... + 811147418.

It is an arithmetic number, because the mean of its divisors is an integer number (9387604512).

Almost surely, 2^{2301221202000} is an apocalyptic number.

2301221202000 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 2301221202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506050165760).

2301221202000 is an abundant number, since it is smaller than the sum of its proper divisors (6710879129520).

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

2301221202000 is a wasteful number, since it uses less digits than its factorization.

2301221202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2301221202000 its reverse (2021221032), we get a palindrome (2303242423032).

The spelling of 2301221202000 in words is "two trillion, three hundred one billion, two hundred twenty-one million, two hundred two thousand".