110001222121000 has 256 divisors, whose sum is σ = 299762344028160. Its totient is φ = 36998516505600.

The previous prime is 110001222120913. The next prime is 110001222121001. The reversal of 110001222121000 is 121222100011.

It is a super-2 number, since 2×110001222121000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110001222121001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4427130577 + ... + 4427155423.

It is an arithmetic number, because the mean of its divisors is an integer number (1170946656360).

Almost surely, 2^{110001222121000} is an apocalyptic number.

110001222121000 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 110001222121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149881172014080).

110001222121000 is an abundant number, since it is smaller than the sum of its proper divisors (189761121907160).

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

110001222121000 is a wasteful number, since it uses less digits than its factorization.

110001222121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36861 (or 36847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110001222121000 its reverse (121222100011), we get a palindrome (110122444221011).

The spelling of 110001222121000 in words is "one hundred ten trillion, one billion, two hundred twenty-two million, one hundred twenty-one thousand".