100010010000100 has 18 divisors (see below), whose sum is σ = 217021721700434. Its totient is φ = 40004004000000.

The previous prime is 100010010000079. The next prime is 100010010000101. The reversal of 100010010000100 is 1000010010001.

It can be written as a sum of positive squares in 3 ways, for example, as 33150049881664 + 66859960118436 = 5757608^2 + 8176794^2 .

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 100010010000100.

It is not an unprimeable number, because it can be changed into a prime (100010010000101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500050049901 + ... + 500050050100.

Almost surely, 2^{100010010000100} is an apocalyptic number.

100010010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010010000100 is an abundant number, since it is smaller than the sum of its proper divisors (117011711700334).

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

100010010000100 is a wasteful number, since it uses less digits than its factorization.

100010010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000100100015 (or 1000100100008 counting only the distinct ones).

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

Adding to 100010010000100 its reverse (1000010010001), we get a palindrome (101010020010101).

Subtracting from 100010010000100 its reverse (1000010010001), we obtain a palindrome (99009999990099).

The spelling of 100010010000100 in words is "one hundred trillion, ten billion, ten million, one hundred", and thus it is an aban number.