110121120100020 has 192 divisors, whose sum is σ = 330867553040640. Its totient is φ = 27267891560448.

The previous prime is 110121120099989. The next prime is 110121120100051. The reversal of 110121120100020 is 20001021121011.

It is an interprime number because it is at equal distance from previous prime (110121120099989) and next prime (110121120100051).

It is a super-2 number, since 2×110121120100020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110121120099969 and 110121120100005.

It is a congruent number.

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, 40159267 + ... + 42813653.

It is an arithmetic number, because the mean of its divisors is an integer number (1723268505420).

Almost surely, 2^{110121120100020} is an apocalyptic number.

110121120100020 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 110121120100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165433776520320).

110121120100020 is an abundant number, since it is smaller than the sum of its proper divisors (220746432940620).

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

110121120100020 is a wasteful number, since it uses less digits than its factorization.

110121120100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654962 (or 2654960 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110121120100020 its reverse (20001021121011), we get a palindrome (130122141221031).

The spelling of 110121120100020 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred thousand, twenty".