100000100001004 has 48 divisors (see below), whose sum is σ = 200687442838848. Its totient is φ = 42709926175488.

The previous prime is 100000100000963. The next prime is 100000100001019. The reversal of 100000100001004 is 400100001000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

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 15 ways as a sum of consecutive naturals, for example, 436313622 + ... + 436542754.

It is an arithmetic number, because the mean of its divisors is an integer number (4180988392476).

Almost surely, 2^{100000100001004} is an apocalyptic number.

100000100001004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100000100001004 is an abundant number, since it is smaller than the sum of its proper divisors (100687342837844).

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

100000100001004 is a wasteful number, since it uses less digits than its factorization.

100000100001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282634 (or 282632 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100000100001004 its reverse (400100001000001), we get a palindrome (500100101001005).

The spelling of 100000100001004 in words is "one hundred trillion, one hundred million, one thousand, four".