101110000110100 has 72 divisors (see below), whose sum is σ = 232760998702008. Its totient is φ = 37991879577600.

The previous prime is 101110000110073. The next prime is 101110000110121. The reversal of 101110000110100 is 1011000011101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 25217711932176 + 75892288177924 = 5021724^2 + 8711618^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 56193447 + ... + 57964846.

It is an arithmetic number, because the mean of its divisors is an integer number (3232791648639).

Almost surely, 2^{101110000110100} is an apocalyptic number.

101110000110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110000110100 is an abundant number, since it is smaller than the sum of its proper divisors (131650998591908).

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

101110000110100 is a wasteful number, since it uses less digits than its factorization.

101110000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114158845 (or 114158838 counting only the distinct ones).

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

Adding to 101110000110100 its reverse (1011000011101), we get a palindrome (102121000121201).

The spelling of 101110000110100 in words is "one hundred one trillion, one hundred ten billion, one hundred ten thousand, one hundred".