10302213120 has 176 divisors, whose sum is σ = 33048405600. Its totient is φ = 2739142656.

The previous prime is 10302213109. The next prime is 10302213121. The reversal of 10302213120 is 2131220301.

It is a super-2 number, since 2×10302213120² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10302213120.

It is not an unprimeable number, because it can be changed into a prime (10302213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6650106 + ... + 6651654.

Almost surely, 2^10302213120 is an apocalyptic number.

10302213120 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 10302213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524202800).

10302213120 is an abundant number, since it is smaller than the sum of its proper divisors (22746192480).

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

10302213120 is a wasteful number, since it uses less digits than its factorization.

10302213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10302213120 its reverse (2131220301), we get a palindrome (12433433421).

The spelling of 10302213120 in words is "ten billion, three hundred two million, two hundred thirteen thousand, one hundred twenty".