110021141313342 has 144 divisors (see below), whose sum is σ = 277883223606144. Its totient is φ = 31368351924000.

The previous prime is 110021141313341. The next prime is 110021141313359. The reversal of 110021141313342 is 243313141120011.

110021141313342 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 2 + 1 + 1 + 4 + 1 + 313 + 342 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021141313341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 933027367 + ... + 933145277.

It is an arithmetic number, because the mean of its divisors is an integer number (1929744608376).

Almost surely, 2^{110021141313342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021141313342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138941611803072).

110021141313342 is an abundant number, since it is smaller than the sum of its proper divisors (167862082292802).

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

110021141313342 is a wasteful number, since it uses less digits than its factorization.

110021141313342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120155 (or 120145 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 110021141313342 its reverse (243313141120011), we get a palindrome (353334282433353).

The spelling of 110021141313342 in words is "one hundred ten trillion, twenty-one billion, one hundred forty-one million, three hundred thirteen thousand, three hundred forty-two".