414102042101 has 16 divisors (see below), whose sum is σ = 482791389120. Its totient is φ = 351000564480.

The previous prime is 414102042089. The next prime is 414102042103. The reversal of 414102042101 is 101240201414.

It is a cyclic number.

It is not a de Polignac number, because 414102042101 - 2²² = 414097847797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414102042103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10327886 + ... + 10367903.

It is an arithmetic number, because the mean of its divisors is an integer number (30174461820).

Almost surely, 2^414102042101 is an apocalyptic number.

It is an amenable number.

414102042101 is a deficient number, since it is larger than the sum of its proper divisors (68689347019).

414102042101 is a wasteful number, since it uses less digits than its factorization.

414102042101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20695924.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 414102042101 its reverse (101240201414), we get a palindrome (515342243515).

The spelling of 414102042101 in words is "four hundred fourteen billion, one hundred two million, forty-two thousand, one hundred one".