101781337334345 has 16 divisors (see below), whose sum is σ = 122456490340752. Its totient is φ = 81212526950400.

The previous prime is 101781337334293. The next prime is 101781337334449. The reversal of 101781337334345 is 543433733187101.

It can be written as a sum of positive squares in 8 ways, for example, as 515597238601 + 101265740095744 = 718051^2 + 10063088^2 .

It is not a de Polignac number, because 101781337334345 - 2²⁴ = 101781320557129 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14228189 + ... + 20149541.

It is an arithmetic number, because the mean of its divisors is an integer number (7653530646297).

Almost surely, 2^{101781337334345} is an apocalyptic number.

It is an amenable number.

101781337334345 is a deficient number, since it is larger than the sum of its proper divisors (20675153006407).

101781337334345 is an equidigital number, since it uses as much as digits as its factorization.

101781337334345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930332.

The product of its (nonzero) digits is 7620480, while the sum is 53.

The spelling of 101781337334345 in words is "one hundred one trillion, seven hundred eighty-one billion, three hundred thirty-seven million, three hundred thirty-four thousand, three hundred forty-five".