110012121000 has 128 divisors (see below), whose sum is σ = 381375446400. Its totient is φ = 29336558400.

The previous prime is 110012120987. The next prime is 110012121013. The reversal of 110012121000 is 121210011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110012120987) and next prime (110012121013).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010262 + ... + 2064261.

It is an arithmetic number, because the mean of its divisors is an integer number (2979495675).

Almost surely, 2^110012121000 is an apocalyptic number.

110012121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110012121000 is an abundant number, since it is smaller than the sum of its proper divisors (271363325400).

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

110012121000 is a wasteful number, since it uses less digits than its factorization.

110012121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074553 (or 4074533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110012121000 its reverse (121210011), we get a palindrome (110133331011).

It can be divided in two parts, 1 and 10012121000, that added together give a palindrome (10012121001).

The spelling of 110012121000 in words is "one hundred ten billion, twelve million, one hundred twenty-one thousand".