10201000000 has 147 divisors (see below), whose sum is σ = 25555942411. Its totient is φ = 4040000000.

The previous prime is 10200999989. The next prime is 10201000031. The reversal of 10201000000 is 10201.

The square root of 10201000000 is 101000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 9940887616 + 260112384 = 99704^2 + 16128^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 100999950 + ... + 101000050.

Almost surely, 2^10201000000 is an apocalyptic number.

10201000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201000000 is the 101000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201000000

10201000000 is an abundant number, since it is smaller than the sum of its proper divisors (15354942411).

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

10201000000 is an frugal number, since it uses more digits than its factorization.

10201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 108 counting only the distinct ones).

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

Adding to 10201000000 its reverse (10201), we get a palindrome (10201010201).

Multiplying 10201000000 by its reverse (10201), we get a square (104060401000000 = 10201000²).

10201000000 divided by its reverse (10201) gives a 6-th power (1000000 = 10⁶).

The spelling of 10201000000 in words is "ten billion, two hundred one million", and thus it is an aban number.