100100101100110 has 32 divisors (see below), whose sum is σ = 189668950359840. Its totient is φ = 37931549709312.

The previous prime is 100100101100099. The next prime is 100100101100119. The reversal of 100100101100110 is 11001101001001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100100101100093 and 100100101100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101100119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314039 + ... + 14210098.

It is an arithmetic number, because the mean of its divisors is an integer number (5927154698745).

Almost surely, 2^{100100101100110} is an apocalyptic number.

100100101100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100101100110 is a deficient number, since it is larger than the sum of its proper divisors (89568849259730).

100100101100110 is a wasteful number, since it uses less digits than its factorization.

100100101100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15558100.

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

Adding to 100100101100110 its reverse (11001101001001), we get a palindrome (111101202101111).

The spelling of 100100101100110 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred thousand, one hundred ten".