110021203410120 has 256 divisors, whose sum is σ = 367063399872000. Its totient is φ = 29312913374208.

The previous prime is 110021203410109. The next prime is 110021203410161. The reversal of 110021203410120 is 21014302120011.

110021203410120 is a `hidden beast` number, since 1 + 10 + 0 + 2 + 120 + 3 + 410 + 120 = 666.

It is a super-2 number, since 2×110021203410120² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 110021203410093 and 110021203410102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13356946642 + ... + 13356954878.

It is an arithmetic number, because the mean of its divisors is an integer number (1433841405750).

Almost surely, 2^{110021203410120} is an apocalyptic number.

110021203410120 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 110021203410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183531699936000).

110021203410120 is an abundant number, since it is smaller than the sum of its proper divisors (257042196461880).

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

110021203410120 is a wasteful number, since it uses less digits than its factorization.

110021203410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17749 (or 17739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110021203410120 its reverse (21014302120011), we get a palindrome (131035505530131).

The spelling of 110021203410120 in words is "one hundred ten trillion, twenty-one billion, two hundred three million, four hundred ten thousand, one hundred twenty".