100001000010100 has 108 divisors (see below), whose sum is σ = 267279983947116. Its totient is φ = 32269230228480.

The previous prime is 100001000010097. The next prime is 100001000010127. The reversal of 100001000010100 is 1010000100001.

It can be written as a sum of positive squares in 6 ways, for example, as 11822402010384 + 88178597999716 = 3438372^2 + 9390346^2 .

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 100001000010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 600162799 + ... + 600329398.

It is an arithmetic number, because the mean of its divisors is an integer number (2474814666177).

Almost surely, 2^{100001000010100} is an apocalyptic number.

100001000010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001000010100 is an abundant number, since it is smaller than the sum of its proper divisors (167278983937016).

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

100001000010100 is a wasteful number, since it uses less digits than its factorization.

100001000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200492242 (or 1200492228 counting only the distinct ones).

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

Adding to 100001000010100 its reverse (1010000100001), we get a palindrome (101011000110101).

The spelling of 100001000010100 in words is "one hundred trillion, one billion, ten thousand, one hundred".