110211234021400 has 192 divisors, whose sum is σ = 261717796756800. Its totient is φ = 43151586140160.

The previous prime is 110211234021347. The next prime is 110211234021401. The reversal of 110211234021400 is 4120432112011.

It is a super-2 number, since 2×110211234021400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110211234021401) 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, 14427438781 + ... + 14427446419.

It is an arithmetic number, because the mean of its divisors is an integer number (1363113524775).

Almost surely, 2^{110211234021400} is an apocalyptic number.

110211234021400 is a gapful number since it is divisible by the number (10) 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 110211234021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130858898378400).

110211234021400 is an abundant number, since it is smaller than the sum of its proper divisors (151506562735400).

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

110211234021400 is a wasteful number, since it uses less digits than its factorization.

110211234021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15078 (or 15069 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 110211234021400 its reverse (4120432112011), we get a palindrome (114331666133411).

The spelling of 110211234021400 in words is "one hundred ten trillion, two hundred eleven billion, two hundred thirty-four million, twenty-one thousand, four hundred".