10000000100 has 36 divisors (see below), whose sum is σ = 22976474724. Its totient is φ = 3764705280.

The previous prime is 10000000097. The next prime is 10000000103. The reversal of 10000000100 is 100000001.

It is an interprime number because it is at equal distance from previous prime (10000000097) and next prime (10000000103).

It can be written as a sum of positive squares in 6 ways, for example, as 234212416 + 9765787684 = 15304^2 + 98822^2 .

It is a sliding number, since 10000000100 = 100 + 10000000000 and 1/100 + 1/10000000000 = 0.010000000100.

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 not an unprimeable number, because it can be changed into a prime (10000000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2939477 + ... + 2942876.

It is an arithmetic number, because the mean of its divisors is an integer number (638235409).

Almost surely, 2^10000000100 is an apocalyptic number.

10000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000000100 is an abundant number, since it is smaller than the sum of its proper divisors (12976474624).

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

10000000100 is a wasteful number, since it uses less digits than its factorization.

10000000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882384 (or 5882377 counting only the distinct ones).

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

Adding to 10000000100 its reverse (100000001), we get a palindrome (10100000101).

Subtracting from 10000000100 its reverse (100000001), we obtain a palindrome (9900000099).

10000000100 divided by its reverse (100000001) gives a square (100 = 10²).

The spelling of 10000000100 in words is "ten billion, one hundred", and thus it is an aban number.