101406112113301 has 2 divisors, whose sum is σ = 101406112113302. Its totient is φ = 101406112113300.

The previous prime is 101406112113209. The next prime is 101406112113347. The reversal of 101406112113301 is 103311211604101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101073385032676 + 332727080625 = 10053526^2 + 576825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101406112113301 is a prime.

It is a super-2 number, since 2×101406112113301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101406112113391) 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 as a sum of consecutive naturals, namely, 50703056056650 + 50703056056651.

It is an arithmetic number, because the mean of its divisors is an integer number (50703056056651).

Almost surely, 2^{101406112113301} is an apocalyptic number.

It is an amenable number.

101406112113301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101406112113301 is an equidigital number, since it uses as much as digits as its factorization.

101406112113301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 101406112113301 its reverse (103311211604101), we get a palindrome (204717323717402).

The spelling of 101406112113301 in words is "one hundred one trillion, four hundred six billion, one hundred twelve million, one hundred thirteen thousand, three hundred one".