10302201030000 has 400 divisors, whose sum is σ = 36299198238336. Its totient is φ = 2496197760000.

The previous prime is 10302201029987. The next prime is 10302201030001. The reversal of 10302201030000 is 3010220301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×10302201030000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302201030001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 730282947 + ... + 730297053.

Almost surely, 2^{10302201030000} is an apocalyptic number.

10302201030000 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 10302201030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18149599119168).

10302201030000 is an abundant number, since it is smaller than the sum of its proper divisors (25996997208336).

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

10302201030000 is a wasteful number, since it uses less digits than its factorization.

10302201030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16362 (or 16341 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10302201030000 its reverse (3010220301), we get a palindrome (10305211250301).

The spelling of 10302201030000 in words is "ten trillion, three hundred two billion, two hundred one million, thirty thousand".