100110101000110 has 16 divisors (see below), whose sum is σ = 180559300410000. Its totient is φ = 39963791820096.

The previous prime is 100110101000101. The next prime is 100110101000137. The reversal of 100110101000110 is 11000101011001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100110101000093 and 100110101000102.

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 7 ways as a sum of consecutive naturals, for example, 10031067255 + ... + 10031077234.

It is an arithmetic number, because the mean of its divisors is an integer number (11284956275625).

Almost surely, 2^{100110101000110} is an apocalyptic number.

100110101000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110101000110 is a deficient number, since it is larger than the sum of its proper divisors (80449199409890).

100110101000110 is a wasteful number, since it uses less digits than its factorization.

100110101000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20062144995.

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

Adding to 100110101000110 its reverse (11000101011001), we get a palindrome (111110202011111).

The spelling of 100110101000110 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred ten", and thus it is an aban number.