100100001110100 has 36 divisors (see below), whose sum is σ = 289622669879424. Its totient is φ = 26693333629280.

The previous prime is 100100001110093. The next prime is 100100001110101. The reversal of 100100001110100 is 1011100001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166833334884 + ... + 166833335483.

Almost surely, 2^{100100001110100} is an apocalyptic number.

100100001110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100001110100 is an abundant number, since it is smaller than the sum of its proper divisors (189522668769324).

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

100100001110100 is a wasteful number, since it uses less digits than its factorization.

100100001110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333666670384 (or 333666670377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100001110100 its reverse (1011100001001), we get a palindrome (101111101111101).

The spelling of 100100001110100 in words is "one hundred trillion, one hundred billion, one million, one hundred ten thousand, one hundred".