101895627791849 has 2 divisors, whose sum is σ = 101895627791850. Its totient is φ = 101895627791848.

The previous prime is 101895627791801. The next prime is 101895627791887. The reversal of 101895627791849 is 948197726598101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101769115972624 + 126511819225 = 10088068^2 + 355685^2 .

It is a cyclic number.

It is not a de Polignac number, because 101895627791849 - 2¹² = 101895627787753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101895627791849.

It is not a weakly prime, because it can be changed into another prime (101895627791549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50947813895924 + 50947813895925.

It is an arithmetic number, because the mean of its divisors is an integer number (50947813895925).

Almost surely, 2^{101895627791849} is an apocalyptic number.

It is an amenable number.

101895627791849 is a deficient number, since it is larger than the sum of its proper divisors (1).

101895627791849 is an equidigital number, since it uses as much as digits as its factorization.

101895627791849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 548674560, while the sum is 77.

The spelling of 101895627791849 in words is "one hundred one trillion, eight hundred ninety-five billion, six hundred twenty-seven million, seven hundred ninety-one thousand, eight hundred forty-nine".