10202000000 has 112 divisors (see below), whose sum is σ = 25410026310. Its totient is φ = 4080000000.

The previous prime is 10201999993. The next prime is 10202000027. The reversal of 10202000000 is 20201.

It can be written as a sum of positive squares in 7 ways, for example, as 8870625856 + 1331374144 = 94184^2 + 36488^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1997450 + ... + 2002550.

Almost surely, 2^10202000000 is an apocalyptic number.

10202000000 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 10202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705013155).

10202000000 is an abundant number, since it is smaller than the sum of its proper divisors (15208026310).

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

10202000000 is an frugal number, since it uses more digits than its factorization.

10202000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 10202000000 its reverse (20201), we get a palindrome (10202020201).

The spelling of 10202000000 in words is "ten billion, two hundred two million", and thus it is an aban number.