110000011010148 has 144 divisors (see below), whose sum is σ = 334667039616000. Its totient is φ = 29759833957824.

The previous prime is 110000011010147. The next prime is 110000011010261. The reversal of 110000011010148 is 841010110000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 110000011010148.

It is not an unprimeable number, because it can be changed into a prime (110000011010147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4129063 + ... + 15396401.

It is an arithmetic number, because the mean of its divisors is an integer number (2324076664000).

Almost surely, 2^{110000011010148} is an apocalyptic number.

110000011010148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110000011010148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333519808000).

110000011010148 is an abundant number, since it is smaller than the sum of its proper divisors (224667028605852).

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

110000011010148 is a wasteful number, since it uses less digits than its factorization.

110000011010148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269414 (or 11269409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110000011010148 its reverse (841010110000011), we get a palindrome (951010121010159).

The spelling of 110000011010148 in words is "one hundred ten trillion, eleven million, ten thousand, one hundred forty-eight".