100101100100110 has 32 divisors (see below), whose sum is σ = 180806668711200. Its totient is φ = 39901758029952.

The previous prime is 100101100100101. The next prime is 100101100100119. The reversal of 100101100100110 is 11001001101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100101100100101) and next prime (100101100100119).

It is a junction number, because it is equal to n+sod(n) for n = 100101100100093 and 100101100100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101100100119) 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, 2785129 + ... + 14420788.

It is an arithmetic number, because the mean of its divisors is an integer number (5650208397225).

Almost surely, 2^{100101100100110} is an apocalyptic number.

100101100100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101100100110 is a deficient number, since it is larger than the sum of its proper divisors (80705568611090).

100101100100110 is a wasteful number, since it uses less digits than its factorization.

100101100100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17207940.

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

Adding to 100101100100110 its reverse (11001001101001), we get a palindrome (111102101201111).

The spelling of 100101100100110 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred ten".