101854787001361 has 2 divisors, whose sum is σ = 101854787001362. Its totient is φ = 101854787001360.

The previous prime is 101854787001307. The next prime is 101854787001413. The reversal of 101854787001361 is 163100787458101.

It is an a-pointer prime, because the next prime (101854787001413) can be obtained adding 101854787001361 to its sum of digits (52).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61477658511361 + 40377128490000 = 7840769^2 + 6354300^2 .

It is a cyclic number.

It is not a de Polignac number, because 101854787001361 - 2⁹ = 101854787000849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101854787001299 and 101854787001308.

It is not a weakly prime, because it can be changed into another prime (101854787004361) 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, 50927393500680 + 50927393500681.

It is an arithmetic number, because the mean of its divisors is an integer number (50927393500681).

Almost surely, 2^{101854787001361} is an apocalyptic number.

It is an amenable number.

101854787001361 is a deficient number, since it is larger than the sum of its proper divisors (1).

101854787001361 is an equidigital number, since it uses as much as digits as its factorization.

101854787001361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 52.

The spelling of 101854787001361 in words is "one hundred one trillion, eight hundred fifty-four billion, seven hundred eighty-seven million, one thousand, three hundred sixty-one".