414102322101 has 32 divisors (see below), whose sum is σ = 620880261120. Its totient is φ = 243587830464.

The previous prime is 414102322063. The next prime is 414102322103. The reversal of 414102322101 is 101223201414.

It is not a de Polignac number, because 414102322101 - 2⁷ = 414102321973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414102322103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178610 + ... + 1489068.

It is an arithmetic number, because the mean of its divisors is an integer number (19402508160).

Almost surely, 2^414102322101 is an apocalyptic number.

It is an amenable number.

414102322101 is a deficient number, since it is larger than the sum of its proper divisors (206777939019).

414102322101 is a wasteful number, since it uses less digits than its factorization.

414102322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311985.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 414102322101 its reverse (101223201414), we get a palindrome (515325523515).

The spelling of 414102322101 in words is "four hundred fourteen billion, one hundred two million, three hundred twenty-two thousand, one hundred one".