110010102100110 has 64 divisors (see below), whose sum is σ = 308800286611200. Its totient is φ = 27792025792416.

The previous prime is 110010102100081. The next prime is 110010102100111. The reversal of 110010102100110 is 11001201010011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110010102100092 and 110010102100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010102100111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10722227044 + ... + 10722237303.

It is an arithmetic number, because the mean of its divisors is an integer number (4825004478300).

Almost surely, 2^{110010102100110} is an apocalyptic number.

110010102100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110010102100110 is an abundant number, since it is smaller than the sum of its proper divisors (198790184511090).

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

110010102100110 is a wasteful number, since it uses less digits than its factorization.

110010102100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21444464382 (or 21444464376 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010102100110 its reverse (11001201010011), we get a palindrome (121011303110121).

The spelling of 110010102100110 in words is "one hundred ten trillion, ten billion, one hundred two million, one hundred thousand, one hundred ten".