1020100000 has 108 divisors (see below), whose sum is σ = 2535341634. Its totient is φ = 404000000.

The previous prime is 1020099959. The next prime is 1020100001. The reversal of 1020100000 is 10201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 26337424 + 993762576 = 5132^2 + 31524^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1020100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10099950 + ... + 10100050.

Almost surely, 2^1020100000 is an apocalyptic number.

1020100000 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 1020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267670817).

1020100000 is an abundant number, since it is smaller than the sum of its proper divisors (1515241634).

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

1020100000 is an frugal number, since it uses more digits than its factorization.

1020100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 108 counting only the distinct ones).

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

The square root of 1020100000 is about 31939.0043677006. The cubic root of 1020100000 is about 1006.6556046521.

Adding to 1020100000 its reverse (10201), we get a palindrome (1020110201).

1020100000 divided by its reverse (10201) gives a 5-th power (100000 = 10⁵).

The spelling of 1020100000 in words is "one billion, twenty million, one hundred thousand".