101414101 has 2 divisors, whose sum is σ = 101414102. Its totient is φ = 101414100.

The previous prime is 101414099. The next prime is 101414111.

101414101 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56175025 + 45239076 = 7495^2 + 6726^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 101414101 - 2¹ = 101414099 is a prime.

Together with 101414099, it forms a pair of twin primes.

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101414111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50707050 + 50707051.

It is an arithmetic number, because the mean of its divisors is an integer number (50707051).

Almost surely, 2^101414101 is an apocalyptic number.

It is an amenable number.

101414101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101414101 is an equidigital number, since it uses as much as digits as its factorization.

101414101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 101414101 is about 10070.4568416731. The cubic root of 101414101 is about 466.3365424292.

The spelling of 101414101 in words is "one hundred one million, four hundred fourteen thousand, one hundred one".