110000011121000 has 768 divisors, whose sum is σ = 351669477519360. Its totient is φ = 31334688000000.

The previous prime is 110000011120963. The next prime is 110000011121029. The reversal of 110000011121000 is 121110000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1112061545 + ... + 1112160455.

It is an arithmetic number, because the mean of its divisors is an integer number (457902965520).

Almost surely, 2^{110000011121000} is an apocalyptic number.

110000011121000 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 110000011121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175834738759680).

110000011121000 is an abundant number, since it is smaller than the sum of its proper divisors (241669466398360).

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

110000011121000 is a wasteful number, since it uses less digits than its factorization.

110000011121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99075 (or 99050 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110000011121000 its reverse (121110000011), we get a palindrome (110121121121011).

It can be divided in two parts, 110000011 and 121000, that added together give a palindrome (110121011).

The spelling of 110000011121000 in words is "one hundred ten trillion, eleven million, one hundred twenty-one thousand".