114101120 has 64 divisors (see below), whose sum is σ = 311752800. Its totient is φ = 39118848.

The previous prime is 114101107. The next prime is 114101177. The reversal of 114101120 is 21101411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8255 + ... + 17214.

Almost surely, 2^114101120 is an apocalyptic number.

114101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114101120 is an abundant number, since it is smaller than the sum of its proper divisors (197651680).

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

114101120 is an equidigital number, since it uses as much as digits as its factorization.

114101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25495 (or 25483 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 114101120 is about 10681.8125802693. The cubic root of 114101120 is about 485.0240821287.

Adding to 114101120 its reverse (21101411), we get a palindrome (135202531).

The spelling of 114101120 in words is "one hundred fourteen million, one hundred one thousand, one hundred twenty".