100010000100100 has 36 divisors (see below), whose sum is σ = 217284120832464. Its totient is φ = 39955627576480.

The previous prime is 100010000100089. The next prime is 100010000100119. The reversal of 100010000100100 is 1001000010001.

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 100010000100100.

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 11 ways as a sum of consecutive naturals, for example, 604572682 + ... + 604738081.

It is an arithmetic number, because the mean of its divisors is an integer number (6035670023124).

Almost surely, 2^{100010000100100} is an apocalyptic number.

100010000100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010000100100 is an abundant number, since it is smaller than the sum of its proper divisors (117274120732364).

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

100010000100100 is a wasteful number, since it uses less digits than its factorization.

100010000100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209311604 (or 1209311597 counting only the distinct ones).

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

Adding to 100010000100100 its reverse (1001000010001), we get a palindrome (101011000110101).

Subtracting from 100010000100100 its reverse (1001000010001), we obtain a palindrome (99009000090099).

The spelling of 100010000100100 in words is "one hundred trillion, ten billion, one hundred thousand, one hundred".