100111101010000 has 50 divisors (see below), whose sum is σ = 242378986679522. Its totient is φ = 40044440400000.

The previous prime is 100111101009967. The next prime is 100111101010091. The reversal of 100111101010000 is 10101111001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 72467355226176 + 27643745783824 = 8512776^2 + 5257732^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5005545051 + ... + 5005565050.

Almost surely, 2^{100111101010000} is an apocalyptic number.

100111101010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111101010000 is an abundant number, since it is smaller than the sum of its proper divisors (142267885669522).

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

100111101010000 is an equidigital number, since it uses as much as digits as its factorization.

100111101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011110129 (or 10011110108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111101010000 its reverse (10101111001), we get a palindrome (100121202121001).

The spelling of 100111101010000 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, ten thousand".