101839748719201 has 2 divisors, whose sum is σ = 101839748719202. Its totient is φ = 101839748719200.

The previous prime is 101839748719127. The next prime is 101839748719223. The reversal of 101839748719201 is 102917847938101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70833516550225 + 31006232168976 = 8416265^2 + 5568324^2 .

It is a cyclic number.

It is not a de Polignac number, because 101839748719201 - 2⁷ = 101839748719073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101839748719201.

It is not a weakly prime, because it can be changed into another prime (101839748719801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50919874359600 + 50919874359601.

It is an arithmetic number, because the mean of its divisors is an integer number (50919874359601).

Almost surely, 2^{101839748719201} is an apocalyptic number.

It is an amenable number.

101839748719201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101839748719201 is an equidigital number, since it uses as much as digits as its factorization.

101839748719201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6096384, while the sum is 61.

The spelling of 101839748719201 in words is "one hundred one trillion, eight hundred thirty-nine billion, seven hundred forty-eight million, seven hundred nineteen thousand, two hundred one".