101405401 has 2 divisors, whose sum is σ = 101405402. Its totient is φ = 101405400.

The previous prime is 101405399. The next prime is 101405417. The reversal of 101405401 is 104504101.

It is an a-pointer prime, because the next prime (101405417) can be obtained adding 101405401 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68641225 + 32764176 = 8285^2 + 5724^2 .

It is a cyclic number.

It is not a de Polignac number, because 101405401 - 2¹ = 101405399 is a prime.

Together with 101405399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101405471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50702700 + 50702701.

It is an arithmetic number, because the mean of its divisors is an integer number (50702701).

Almost surely, 2^101405401 is an apocalyptic number.

It is an amenable number.

101405401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101405401 is an equidigital number, since it uses as much as digits as its factorization.

101405401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 101405401 is about 10070.0248758382. The cubic root of 101405401 is about 466.3232068611.

Adding to 101405401 its reverse (104504101), we get a palindrome (205909502).

The spelling of 101405401 in words is "one hundred one million, four hundred five thousand, four hundred one".