110122101120030 has 256 divisors, whose sum is σ = 277594882790400. Its totient is φ = 27939286794240.

The previous prime is 110122101120019. The next prime is 110122101120049. The reversal of 110122101120030 is 30021101221011.

It is a super-2 number, since 2×110122101120030² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110122101119991 and 110122101120009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1811814181 + ... + 1811874959.

It is an arithmetic number, because the mean of its divisors is an integer number (1084355010900).

Almost surely, 2^{110122101120030} is an apocalyptic number.

110122101120030 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 110122101120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138797441395200).

110122101120030 is an abundant number, since it is smaller than the sum of its proper divisors (167472781670370).

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

110122101120030 is a wasteful number, since it uses less digits than its factorization.

110122101120030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61179.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110122101120030 its reverse (30021101221011), we get a palindrome (140143202341041).

The spelling of 110122101120030 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty thousand, thirty".