10020010000 has 675 divisors, whose sum is σ = 33588477153. Its totient is φ = 2882880000.

The previous prime is 10020009949. The next prime is 10020010019. The reversal of 10020010000 is 1002001.

The square root of 10020010000 is 100100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9897066256 + 122943744 = 99484^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 770769994 + ... + 770770006.

Almost surely, 2^10020010000 is an apocalyptic number.

10020010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10020010000 is the 100100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020010000

10020010000 is an abundant number, since it is smaller than the sum of its proper divisors (23568467153).

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

10020010000 is a wasteful number, since it uses less digits than its factorization.

10020010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 10020010000 its reverse (1002001), we get a palindrome (10021012001).

10020010000 divided by its reverse (1002001) gives a 4-th power (10000 = 10⁴).

The spelling of 10020010000 in words is "ten billion, twenty million, ten thousand".