1000101800 has 48 divisors (see below), whose sum is σ = 2334997500. Its totient is φ = 398361600.

The previous prime is 1000101799. The next prime is 1000101827. The reversal of 1000101800 is 81010001.

It can be written as a sum of positive squares in 6 ways, for example, as 202265284 + 797836516 = 14222^2 + 28246^2 .

It is a super-2 number, since 2×1000101800² = 2000407220726480000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37826 + ... + 58574.

Almost surely, 2^1000101800 is an apocalyptic number.

1000101800 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 1000101800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167498750).

1000101800 is an abundant number, since it is smaller than the sum of its proper divisors (1334895700).

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

1000101800 is a wasteful number, since it uses less digits than its factorization.

1000101800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21006 (or 20997 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1000101800 is about 31624.3861600506. The cubic root of 1000101800 is about 1000.0339321819.

Adding to 1000101800 its reverse (81010001), we get a palindrome (1081111801).

The spelling of 1000101800 in words is "one billion, one hundred one thousand, eight hundred".