110042121321210 has 128 divisors (see below), whose sum is σ = 286798863826944. Its totient is φ = 26860617826560.

The previous prime is 110042121321163. The next prime is 110042121321217. The reversal of 110042121321210 is 12123121240011.

It is not an unprimeable number, because it can be changed into a prime (110042121321217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99052437 + ... + 100157223.

It is an arithmetic number, because the mean of its divisors is an integer number (2240616123648).

Almost surely, 2^{110042121321210} is an apocalyptic number.

110042121321210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110042121321210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143399431913472).

110042121321210 is an abundant number, since it is smaller than the sum of its proper divisors (176756742505734).

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

110042121321210 is a wasteful number, since it uses less digits than its factorization.

110042121321210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106948.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 110042121321210 its reverse (12123121240011), we get a palindrome (122165242561221).

The spelling of 110042121321210 in words is "one hundred ten trillion, forty-two billion, one hundred twenty-one million, three hundred twenty-one thousand, two hundred ten".