2014442101122 has 64 divisors (see below), whose sum is σ = 4611301429248. Its totient is φ = 581061096000.

The previous prime is 2014442101121. The next prime is 2014442101123. The reversal of 2014442101122 is 2211012444102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2014442101121) and next prime (2014442101123).

It is a junction number, because it is equal to n+sod(n) for n = 2014442101092 and 2014442101101.

It is not an unprimeable number, because it can be changed into a prime (2014442101121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7945488 + ... + 8195099.

It is an arithmetic number, because the mean of its divisors is an integer number (72051584832).

Almost surely, 2^{2014442101122} is an apocalyptic number.

2014442101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2014442101122 is an abundant number, since it is smaller than the sum of its proper divisors (2596859328126).

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

2014442101122 is a wasteful number, since it uses less digits than its factorization.

2014442101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16140695.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2014442101122 its reverse (2211012444102), we get a palindrome (4225454545224).

The spelling of 2014442101122 in words is "two trillion, fourteen billion, four hundred forty-two million, one hundred one thousand, one hundred twenty-two".