101241414 has 40 divisors (see below), whose sum is σ = 227635848. Its totient is φ = 33631200.

The previous prime is 101241403. The next prime is 101241451. The reversal of 101241414 is 414142101.

101241414 is a `hidden beast` number, since 10 + 1 + 241 + 414 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55314 + ... + 57114.

Almost surely, 2^101241414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101241414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113817924).

101241414 is an abundant number, since it is smaller than the sum of its proper divisors (126394434).

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

101241414 is a wasteful number, since it uses less digits than its factorization.

101241414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2153 counting only the distinct ones).

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

The square root of 101241414 is about 10061.8792479338. The cubic root of 101241414 is about 466.0717008548.

Adding to 101241414 its reverse (414142101), we get a palindrome (515383515).

The spelling of 101241414 in words is "one hundred one million, two hundred forty-one thousand, four hundred fourteen".