101400114 has 32 divisors (see below), whose sum is σ = 208434240. Its totient is φ = 32873472.

The previous prime is 101400113. The next prime is 101400133. The reversal of 101400114 is 411004101.

It is a self number, because there is not a number n which added to its sum of digits gives 101400114.

It is not an unprimeable number, because it can be changed into a prime (101400113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32862 + ... + 35814.

It is an arithmetic number, because the mean of its divisors is an integer number (6513570).

Almost surely, 2^101400114 is an apocalyptic number.

101400114 is an abundant number, since it is smaller than the sum of its proper divisors (107034126).

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

101400114 is a wasteful number, since it uses less digits than its factorization.

101400114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101400114 is about 10069.7623606518. The cubic root of 101400114 is about 466.3151024485.

Adding to 101400114 its reverse (411004101), we get a palindrome (512404215).

The spelling of 101400114 in words is "one hundred one million, four hundred thousand, one hundred fourteen".