101414412 has 72 divisors (see below), whose sum is σ = 283675392. Its totient is φ = 30290400.

The previous prime is 101414377. The next prime is 101414431. The reversal of 101414412 is 214414101.

It is a super-2 number, since 2×101414412² = 20569765922611488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26313 + ... + 29919.

It is an arithmetic number, because the mean of its divisors is an integer number (3939936).

Almost surely, 2^101414412 is an apocalyptic number.

101414412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101414412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141837696).

101414412 is an abundant number, since it is smaller than the sum of its proper divisors (182260980).

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

101414412 is a wasteful number, since it uses less digits than its factorization.

101414412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101414412 is about 10070.4722828674. The cubic root of 101414412 is about 466.3370191233.

Adding to 101414412 its reverse (214414101), we get a palindrome (315828513).

The spelling of 101414412 in words is "one hundred one million, four hundred fourteen thousand, four hundred twelve".