10200134020 has 48 divisors (see below), whose sum is σ = 21519716400. Its totient is φ = 4061159424.

The previous prime is 10200134003. The next prime is 10200134033. The reversal of 10200134020 is 2043100201.

It can be written as a sum of positive squares in 8 ways, for example, as 749956 + 10199384064 = 866^2 + 100992^2 .

It is a super-2 number, since 2×10200134020² (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6584206 + ... + 6585754.

It is an arithmetic number, because the mean of its divisors is an integer number (448327425).

Almost surely, 2^10200134020 is an apocalyptic number.

10200134020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200134020 is an abundant number, since it is smaller than the sum of its proper divisors (11319582380).

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

10200134020 is a wasteful number, since it uses less digits than its factorization.

10200134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10200134020 its reverse (2043100201), we get a palindrome (12243234221).

The spelling of 10200134020 in words is "ten billion, two hundred million, one hundred thirty-four thousand, twenty".