10032202000 has 80 divisors (see below), whose sum is σ = 25094487600. Its totient is φ = 3874483200.

The previous prime is 10032201997. The next prime is 10032202003. The reversal of 10032202000 is 20223001.

It is an interprime number because it is at equal distance from previous prime (10032201997) and next prime (10032202003).

It can be written as a sum of positive squares in 8 ways, for example, as 6380175376 + 3652026624 = 79876^2 + 60432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10032202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28485 + ... + 144484.

It is an arithmetic number, because the mean of its divisors is an integer number (313681095).

Almost surely, 2^10032202000 is an apocalyptic number.

10032202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032202000 is an abundant number, since it is smaller than the sum of its proper divisors (15062285600).

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

10032202000 is a wasteful number, since it uses less digits than its factorization.

10032202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173021 (or 173005 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10032202000 its reverse (20223001), we get a palindrome (10052425001).

The spelling of 10032202000 in words is "ten billion, thirty-two million, two hundred two thousand".