10302141200 has 60 divisors (see below), whose sum is σ = 26654822628. Its totient is φ = 3803865600.

The previous prime is 10302141193. The next prime is 10302141233. The reversal of 10302141200 is 214120301.

It can be written as a sum of positive squares in 6 ways, for example, as 4176261376 + 6125879824 = 64624^2 + 78268^2 .

It is a super-2 number, since 2×10302141200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 985391 + ... + 995790.

Almost surely, 2^10302141200 is an apocalyptic number.

10302141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302141200 is an abundant number, since it is smaller than the sum of its proper divisors (16352681428).

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

10302141200 is a wasteful number, since it uses less digits than its factorization.

10302141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981212 (or 1981201 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10302141200 its reverse (214120301), we get a palindrome (10516261501).

The spelling of 10302141200 in words is "ten billion, three hundred two million, one hundred forty-one thousand, two hundred".