101114 has 8 divisors (see below), whose sum is σ = 163380. Its totient is φ = 46656.

The previous prime is 101113. The next prime is 101117. The reversal of 101114 is 411101.

It can be written as a sum of positive squares in 2 ways, for example, as 100489 + 625 = 317^2 + 25^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (101111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1919 + ... + 1970.

2¹⁰¹¹¹⁴ is an apocalyptic number.

101114 is a deficient number, since it is larger than the sum of its proper divisors (62266).

101114 is a wasteful number, since it uses less digits than its factorization.

101114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101114 is about 317.9842763408. The cubic root of 101114 is about 46.5876099119.

Adding to 101114 its reverse (411101), we get a palindrome (512215).

The spelling of 101114 in words is "one hundred one thousand, one hundred fourteen", and thus it is an iban number.