10202002000 has 80 divisors (see below), whose sum is σ = 24690700944. Its totient is φ = 4077120000.

The previous prime is 10202001973. The next prime is 10202002001. The reversal of 10202002000 is 20020201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7994505744 + 2207496256 = 89412^2 + 46984^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3720630 + ... + 3723370.

Almost surely, 2^10202002000 is an apocalyptic number.

10202002000 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 10202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12345350472).

10202002000 is an abundant number, since it is smaller than the sum of its proper divisors (14488698944).

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

10202002000 is a wasteful number, since it uses less digits than its factorization.

10202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 10202002000 its reverse (20020201), we get a palindrome (10222022201).

The spelling of 10202002000 in words is "ten billion, two hundred two million, two thousand".