10302210000 has 300 divisors, whose sum is σ = 36383031828. Its totient is φ = 2720256000.

The previous prime is 10302209977. The next prime is 10302210007. The reversal of 10302210000 is 1220301.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 9915379776 + 386830224 = 99576^2 + 19668^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×10302210000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302210007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10169494 + ... + 10170506.

Almost surely, 2^10302210000 is an apocalyptic number.

10302210000 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 10302210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18191515914).

10302210000 is an abundant number, since it is smaller than the sum of its proper divisors (26080821828).

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

10302210000 is a wasteful number, since it uses less digits than its factorization.

10302210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10302210000 its reverse (1220301), we get a palindrome (10303430301).

The spelling of 10302210000 in words is "ten billion, three hundred two million, two hundred ten thousand".