110100002021120 has 288 divisors, whose sum is σ = 282375856788480. Its totient is φ = 41006016184320.

The previous prime is 110100002021111. The next prime is 110100002021161. The reversal of 110100002021120 is 21120200001011.

It is a super-3 number, since 3×110100002021120³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1938932249 + ... + 1938989031.

It is an arithmetic number, because the mean of its divisors is an integer number (980471724960).

Almost surely, 2^{110100002021120} is an apocalyptic number.

110100002021120 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 110100002021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141187928394240).

110100002021120 is an abundant number, since it is smaller than the sum of its proper divisors (172275854767360).

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

110100002021120 is a wasteful number, since it uses less digits than its factorization.

110100002021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58191 (or 58177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110100002021120 its reverse (21120200001011), we get a palindrome (131220202022131).

The spelling of 110100002021120 in words is "one hundred ten trillion, one hundred billion, two million, twenty-one thousand, one hundred twenty".