101540441333209 has 2 divisors, whose sum is σ = 101540441333210. Its totient is φ = 101540441333208.

The previous prime is 101540441333203. The next prime is 101540441333347. The reversal of 101540441333209 is 902333144045101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82151962867984 + 19388478465225 = 9063772^2 + 4403235^2 .

It is a cyclic number.

It is not a de Polignac number, because 101540441333209 - 2¹³ = 101540441325017 is a prime.

It is a super-2 number, since 2×101540441333209² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101540441333203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50770220666604 + 50770220666605.

It is an arithmetic number, because the mean of its divisors is an integer number (50770220666605).

Almost surely, 2^{101540441333209} is an apocalyptic number.

It is an amenable number.

101540441333209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101540441333209 is an equidigital number, since it uses as much as digits as its factorization.

101540441333209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 101540441333209 in words is "one hundred one trillion, five hundred forty billion, four hundred forty-one million, three hundred thirty-three thousand, two hundred nine".