101106405241 has 2 divisors, whose sum is σ = 101106405242. Its totient is φ = 101106405240.

The previous prime is 101106405187. The next prime is 101106405271. The reversal of 101106405241 is 142504601101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98410199616 + 2696205625 = 313704^2 + 51925^2 .

It is an emirp because it is prime and its reverse (142504601101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101106405241 - 2²⁷ = 100972187513 is a prime.

It is not a weakly prime, because it can be changed into another prime (101106405271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553202620 + 50553202621.

It is an arithmetic number, because the mean of its divisors is an integer number (50553202621).

Almost surely, 2^101106405241 is an apocalyptic number.

It is an amenable number.

101106405241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101106405241 is an equidigital number, since it uses as much as digits as its factorization.

101106405241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 101106405241 in words is "one hundred one billion, one hundred six million, four hundred five thousand, two hundred forty-one".