110011112120101 has 8 divisors (see below), whose sum is σ = 110331744081624. Its totient is φ = 109690946534400.

The previous prime is 110011112120071. The next prime is 110011112120131. The reversal of 110011112120101 is 101021211110011.

It is an interprime number because it is at equal distance from previous prime (110011112120071) and next prime (110011112120131).

It can be written as a sum of positive squares in 4 ways, for example, as 4566452729476 + 105444659390625 = 2136926^2 + 10268625^2 .

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 110011112120101 - 2²⁵ = 110011078565669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011112120131) 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, 116121496 + ... + 117065041.

It is an arithmetic number, because the mean of its divisors is an integer number (13791468010203).

Almost surely, 2^{110011112120101} is an apocalyptic number.

It is an amenable number.

110011112120101 is a deficient number, since it is larger than the sum of its proper divisors (320631961523).

110011112120101 is an equidigital number, since it uses as much as digits as its factorization.

110011112120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233187911.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110011112120101 its reverse (101021211110011), we get a palindrome (211032323230112).

The spelling of 110011112120101 in words is "one hundred ten trillion, eleven billion, one hundred twelve million, one hundred twenty thousand, one hundred one".