10201309872 has 160 divisors (see below), whose sum is σ = 29491445760. Its totient is φ = 3017364480.

The previous prime is 10201309843. The next prime is 10201309873. The reversal of 10201309872 is 27890310201.

It is not an unprimeable number, because it can be changed into a prime (10201309873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3035329 + ... + 3038687.

It is an arithmetic number, because the mean of its divisors is an integer number (184321536).

Almost surely, 2^10201309872 is an apocalyptic number.

10201309872 is a gapful number since it is divisible by the number (12) 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 10201309872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745722880).

10201309872 is an abundant number, since it is smaller than the sum of its proper divisors (19290135888).

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

10201309872 is a wasteful number, since it uses less digits than its factorization.

10201309872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10201309872 in words is "ten billion, two hundred one million, three hundred nine thousand, eight hundred seventy-two".