110132121000 has 256 divisors, whose sum is σ = 380452101120. Its totient is φ = 26299680000.

The previous prime is 110132120983. The next prime is 110132121041. The reversal of 110132121000 is 121231011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2186095 + ... + 2235905.

It is an arithmetic number, because the mean of its divisors is an integer number (1486141020).

Almost surely, 2^110132121000 is an apocalyptic number.

110132121000 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 110132121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190226050560).

110132121000 is an abundant number, since it is smaller than the sum of its proper divisors (270319980120).

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

110132121000 is a wasteful number, since it uses less digits than its factorization.

110132121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49913 (or 49899 counting only the distinct ones).

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

Adding to 110132121000 its reverse (121231011), we get a palindrome (110253352011).

It can be divided in two parts, 110132 and 121000, that added together give a palindrome (231132).

The spelling of 110132121000 in words is "one hundred ten billion, one hundred thirty-two million, one hundred twenty-one thousand".