101000100110110 has 16 divisors (see below), whose sum is σ = 181800326210256. Its totient is φ = 40400007596928.

The previous prime is 101000100110053. The next prime is 101000100110113. The reversal of 101000100110110 is 11011001000101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101000100110093 and 101000100110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100110113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12071302 + ... + 18647158.

It is an arithmetic number, because the mean of its divisors is an integer number (11362520388141).

Almost surely, 2^{101000100110110} is an apocalyptic number.

101000100110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000100110110 is a deficient number, since it is larger than the sum of its proper divisors (80800226100146).

101000100110110 is a wasteful number, since it uses less digits than its factorization.

101000100110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111787.

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

Adding to 101000100110110 its reverse (11011001000101), we get a palindrome (112011101110211).

The spelling of 101000100110110 in words is "one hundred one trillion, one hundred million, one hundred ten thousand, one hundred ten".