101123414 has 32 divisors (see below), whose sum is σ = 177970176. Its totient is φ = 42194880.

The previous prime is 101123411. The next prime is 101123431. The reversal of 101123414 is 414321101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101123392 and 101123401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 205709 + ... + 206199.

It is an arithmetic number, because the mean of its divisors is an integer number (5561568).

Almost surely, 2^101123414 is an apocalyptic number.

101123414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101123414 is a deficient number, since it is larger than the sum of its proper divisors (76846762).

101123414 is a wasteful number, since it uses less digits than its factorization.

101123414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101123414 is about 10056.0138225840. The cubic root of 101123414 is about 465.8905567984.

Adding to 101123414 its reverse (414321101), we get a palindrome (515444515).

The spelling of 101123414 in words is "one hundred one million, one hundred twenty-three thousand, four hundred fourteen".