100010100000100 has 18 divisors (see below), whose sum is σ = 217021917000434. Its totient is φ = 40004040000000.

The previous prime is 100010100000071. The next prime is 100010100000113. The reversal of 100010100000100 is 1000001010001.

It can be written as a sum of positive squares in 3 ways, for example, as 939790336 + 100009160209764 = 30656^2 + 10000458^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 100010100000100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500050499901 + ... + 500050500100.

Almost surely, 2^{100010100000100} is an apocalyptic number.

100010100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010100000100 is an abundant number, since it is smaller than the sum of its proper divisors (117011817000334).

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

100010100000100 is a wasteful number, since it uses less digits than its factorization.

100010100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000101000015 (or 1000101000008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100010100000100 its reverse (1000001010001), we get a palindrome (101010101010101).

The spelling of 100010100000100 in words is "one hundred trillion, ten billion, one hundred million, one hundred", and thus it is an aban number.