10201505000 has 80 divisors (see below), whose sum is σ = 24139975860. Its totient is φ = 4040000000.

The previous prime is 10201504991. The next prime is 10201505009. The reversal of 10201505000 is 50510201.

It is an interprime number because it is at equal distance from previous prime (10201504991) and next prime (10201505009).

It can be written as a sum of positive squares in 10 ways, for example, as 1392931684 + 8808573316 = 37322^2 + 93854^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201505009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 494900 + ... + 515100.

Almost surely, 2^10201505000 is an apocalyptic number.

10201505000 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 10201505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12069987930).

10201505000 is an abundant number, since it is smaller than the sum of its proper divisors (13938470860).

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

10201505000 is a wasteful number, since it uses less digits than its factorization.

10201505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20328 (or 20309 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

10201505000 divided by its product of nonzero digits (50) gives a triangular number (204030100 = T₂₀₂₀₀).

The spelling of 10201505000 in words is "ten billion, two hundred one million, five hundred five thousand".