1000000000100 has 72 divisors (see below), whose sum is σ = 2192182436136. Its totient is φ = 395913600000.

The previous prime is 1000000000091. The next prime is 1000000000121. The reversal of 1000000000100 is 10000000001.

It can be written as a sum of positive squares in 12 ways, for example, as 168500398144 + 831499601956 = 410488^2 + 911866^2 .

It is a sliding number, since 1000000000100 = 100 + 1000000000000 and 1/100 + 1/1000000000000 = 0.01000000000100.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35750120 + ... + 35778080.

Almost surely, 2^{1000000000100} is an apocalyptic number.

1000000000100 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 1000000000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096091218068).

1000000000100 is an abundant number, since it is smaller than the sum of its proper divisors (1192182436036).

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

1000000000100 is a wasteful number, since it uses less digits than its factorization.

1000000000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31617 (or 31610 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

Adding to 1000000000100 its reverse (10000000001), we get a palindrome (1010000000101).

Subtracting from 1000000000100 its reverse (10000000001), we obtain a palindrome (990000000099).

1000000000100 divided by its reverse (10000000001) gives a square (100 = 10²).

The spelling of 1000000000100 in words is "one trillion, one hundred", and thus it is an aban number.