101553345342209 has 2 divisors, whose sum is σ = 101553345342210. Its totient is φ = 101553345342208.

The previous prime is 101553345342101. The next prime is 101553345342233. The reversal of 101553345342209 is 902243543355101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52022998013809 + 49530347328400 = 7212697^2 + 7037780^2 .

It is a cyclic number.

It is not a de Polignac number, because 101553345342209 - 2⁸ = 101553345341953 is a prime.

It is not a weakly prime, because it can be changed into another prime (101553345342259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50776672671104 + 50776672671105.

It is an arithmetic number, because the mean of its divisors is an integer number (50776672671105).

Almost surely, 2^{101553345342209} is an apocalyptic number.

It is an amenable number.

101553345342209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101553345342209 is an equidigital number, since it uses as much as digits as its factorization.

101553345342209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 101553345342209 in words is "one hundred one trillion, five hundred fifty-three billion, three hundred forty-five million, three hundred forty-two thousand, two hundred nine".