100010001010100 has 18 divisors (see below), whose sum is σ = 217021702192134. Its totient is φ = 40004000404000.

The previous prime is 100010001010033. The next prime is 100010001010111. The reversal of 100010001010100 is 1010100010001.

100010001010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13984338910096 + 86025662100004 = 3739564^2 + 9275002^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

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, 500050004951 + ... + 500050005150.

Almost surely, 2^{100010001010100} is an apocalyptic number.

100010001010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010001010100 is an abundant number, since it is smaller than the sum of its proper divisors (117011701182034).

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

100010001010100 is a wasteful number, since it uses less digits than its factorization.

100010001010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000100010115 (or 1000100010108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100010001010100 its reverse (1010100010001), we get a palindrome (101020101020101).

The spelling of 100010001010100 in words is "one hundred trillion, ten billion, one million, ten thousand, one hundred".