414101021 has 8 divisors (see below), whose sum is σ = 419554080. Its totient is φ = 408677488.

The previous prime is 414100997. The next prime is 414101047. The reversal of 414101021 is 120101414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414101021 - 2⁶ = 414100957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414100987 and 414101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414101081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21590 + ... + 35976.

It is an arithmetic number, because the mean of its divisors is an integer number (52444260).

Almost surely, 2^414101021 is an apocalyptic number.

It is an amenable number.

414101021 is a deficient number, since it is larger than the sum of its proper divisors (5453059).

414101021 is a wasteful number, since it uses less digits than its factorization.

414101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14763.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 414101021 is about 20349.4722535991. The cubic root of 414101021 is about 745.3646075004.

Adding to 414101021 its reverse (120101414), we get a palindrome (534202435).

It can be divided in two parts, 41 and 4101021, that multiplied together give a palindrome (168141861).

The spelling of 414101021 in words is "four hundred fourteen million, one hundred one thousand, twenty-one".