114138101 has 24 divisors (see below), whose sum is σ = 145489536. Its totient is φ = 88542720.

The previous prime is 114138083. The next prime is 114138103. The reversal of 114138101 is 101831411.

It is a happy number.

It is not a de Polignac number, because 114138101 - 2¹⁰ = 114137077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114138103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197525 + ... + 198101.

It is an arithmetic number, because the mean of its divisors is an integer number (6062064).

Almost surely, 2^114138101 is an apocalyptic number.

114138101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114138101 is a deficient number, since it is larger than the sum of its proper divisors (31351435).

114138101 is a wasteful number, since it uses less digits than its factorization.

114138101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 114138101 is about 10683.5434664722. The cubic root of 114138101 is about 485.0764764088.

Adding to 114138101 its reverse (101831411), we get a palindrome (215969512).

The spelling of 114138101 in words is "one hundred fourteen million, one hundred thirty-eight thousand, one hundred one".