101414200 has 24 divisors (see below), whose sum is σ = 235788480. Its totient is φ = 40565600.

The previous prime is 101414177. The next prime is 101414207. The reversal of 101414200 is 2414101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101414207) 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 5 ways as a sum of consecutive naturals, for example, 253336 + ... + 253735.

It is an arithmetic number, because the mean of its divisors is an integer number (9824520).

Almost surely, 2^101414200 is an apocalyptic number.

101414200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101414200 is an abundant number, since it is smaller than the sum of its proper divisors (134374280).

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

101414200 is a wasteful number, since it uses less digits than its factorization.

101414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507087 (or 507078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 101414200 is about 10070.4617570397. The cubic root of 101414200 is about 466.3366941744.

Adding to 101414200 its reverse (2414101), we get a palindrome (103828301).

Subtracting from 101414200 its reverse (2414101), we obtain a palindrome (99000099).

It can be divided in two parts, 10141 and 4200, that added together give a palindrome (14341).

The spelling of 101414200 in words is "one hundred one million, four hundred fourteen thousand, two hundred".