10302001000 has 64 divisors (see below), whose sum is σ = 24133196880. Its totient is φ = 4116268800.

The previous prime is 10302000991. The next prime is 10302001051. The reversal of 10302001000 is 10020301.

It can be written as a sum of positive squares in 8 ways, for example, as 2413363876 + 7888637124 = 49126^2 + 88818^2 .

It is a super-2 number, since 2×10302001000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991834 + ... + 1002166.

Almost surely, 2^10302001000 is an apocalyptic number.

10302001000 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 10302001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066598440).

10302001000 is an abundant number, since it is smaller than the sum of its proper divisors (13831195880).

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

10302001000 is a wasteful number, since it uses less digits than its factorization.

10302001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11351 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10302001000 its reverse (10020301), we get a palindrome (10312021301).

The spelling of 10302001000 in words is "ten billion, three hundred two million, one thousand".