110010102000107 has 8 divisors (see below), whose sum is σ = 110017923672384. Its totient is φ = 110002280652288.

The previous prime is 110010102000053. The next prime is 110010102000119. The reversal of 110010102000107 is 701000201010011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110010102000107 - 2³⁸ = 109735224093163 is a prime.

It is a super-2 number, since 2×110010102000107² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110010102000091 and 110010102000100.

It is not an unprimeable number, because it can be changed into a prime (110010102000187) by changing a digit.

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, 1271264813 + ... + 1271351345.

It is an arithmetic number, because the mean of its divisors is an integer number (13752240459048).

Almost surely, 2^{110010102000107} is an apocalyptic number.

110010102000107 is a deficient number, since it is larger than the sum of its proper divisors (7821672277).

110010102000107 is an equidigital number, since it uses as much as digits as its factorization.

110010102000107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162229.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 110010102000107 its reverse (701000201010011), we get a palindrome (811010303010118).

The spelling of 110010102000107 in words is "one hundred ten trillion, ten billion, one hundred two million, one hundred seven", and thus it is an aban number.