10141414101 has 48 divisors (see below), whose sum is σ = 18516511104. Its totient is φ = 5204725632.

The previous prime is 10141414099. The next prime is 10141414109.

10141414101 is a `hidden beast` number, since 10 + 141 + 414 + 101 = 666.

10141414101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10141414101 - 2¹ = 10141414099 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141414109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137031 + ... + 197636.

It is an arithmetic number, because the mean of its divisors is an integer number (385760648).

Almost surely, 2^10141414101 is an apocalyptic number.

It is an amenable number.

10141414101 is a deficient number, since it is larger than the sum of its proper divisors (8375097003).

10141414101 is a wasteful number, since it uses less digits than its factorization.

10141414101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334730 (or 334727 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 10141414101 in words is "ten billion, one hundred forty-one million, four hundred fourteen thousand, one hundred one".