100111000010100 has 144 divisors (see below), whose sum is σ = 299585623626240. Its totient is φ = 25784338982400.

The previous prime is 100111000010011. The next prime is 100111000010171. The reversal of 100111000010100 is 1010000111001.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5840587 + ... + 15307986.

Almost surely, 2^{100111000010100} is an apocalyptic number.

100111000010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111000010100 is an abundant number, since it is smaller than the sum of its proper divisors (199474623616140).

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

100111000010100 is a wasteful number, since it uses less digits than its factorization.

100111000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21149130 (or 21149123 counting only the distinct ones).

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

Adding to 100111000010100 its reverse (1010000111001), we get a palindrome (101121000121101).

The spelling of 100111000010100 in words is "one hundred trillion, one hundred eleven billion, ten thousand, one hundred".