110021120121120 has 384 divisors, whose sum is σ = 395439988172544. Its totient is φ = 25472282394624.

The previous prime is 110021120121119. The next prime is 110021120121151. The reversal of 110021120121120 is 21121021120011.

It is a happy number.

It is a super-2 number, since 2×110021120121120² (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 self number, because there is not a number n which added to its sum of digits gives 110021120121120.

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, 161219344 + ... + 161900336.

It is an arithmetic number, because the mean of its divisors is an integer number (1029791635866).

Almost surely, 2^{110021120121120} is an apocalyptic number.

110021120121120 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 110021120121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197719994086272).

110021120121120 is an abundant number, since it is smaller than the sum of its proper divisors (285418868051424).

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

110021120121120 is a wasteful number, since it uses less digits than its factorization.

110021120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682564 (or 682556 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110021120121120 its reverse (21121021120011), we get a palindrome (131142141241131).

The spelling of 110021120121120 in words is "one hundred ten trillion, twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".