10002129285 has 32 divisors (see below), whose sum is σ = 16301352960. Its totient is φ = 5235451200.

The previous prime is 10002129281. The next prime is 10002129307. The reversal of 10002129285 is 58292120001.

It is not a de Polignac number, because 10002129285 - 2² = 10002129281 is a prime.

It is a super-2 number, since 2×10002129285² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002129281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 549480 + ... + 567390.

It is an arithmetic number, because the mean of its divisors is an integer number (509417280).

Almost surely, 2^10002129285 is an apocalyptic number.

10002129285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10002129285 is a deficient number, since it is larger than the sum of its proper divisors (6299223675).

10002129285 is a wasteful number, since it uses less digits than its factorization.

10002129285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18609.

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 10002129285 its reverse (58292120001), we get a palindrome (68294249286).

The spelling of 10002129285 in words is "ten billion, two million, one hundred twenty-nine thousand, two hundred eighty-five".