110220100212144 has 160 divisors (see below), whose sum is σ = 313185674833920. Its totient is φ = 33189815264256.

The previous prime is 110220100212143. The next prime is 110220100212259. The reversal of 110220100212144 is 441212001022011.

It is a self number, because there is not a number n which added to its sum of digits gives 110220100212144.

It is not an unprimeable number, because it can be changed into a prime (110220100212143) 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, 411308569 + ... + 411576455.

It is an arithmetic number, because the mean of its divisors is an integer number (1957410467712).

Almost surely, 2^{110220100212144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110220100212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156592837416960).

110220100212144 is an abundant number, since it is smaller than the sum of its proper divisors (202965574621776).

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

110220100212144 is a wasteful number, since it uses less digits than its factorization.

110220100212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281987 (or 281981 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 110220100212144 its reverse (441212001022011), we get a palindrome (551432101234155).

The spelling of 110220100212144 in words is "one hundred ten trillion, two hundred twenty billion, one hundred million, two hundred twelve thousand, one hundred forty-four".