101540441333411 has 2 divisors, whose sum is σ = 101540441333412. Its totient is φ = 101540441333410.

The previous prime is 101540441333393. The next prime is 101540441333413. The reversal of 101540441333411 is 114333144045101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101540441333411 - 2⁶ = 101540441333347 is a prime.

It is a super-2 number, since 2×101540441333411² (a number of 29 digits) contains 22 as substring.

Together with 101540441333413, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101540441333413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50770220666705 + 50770220666706.

It is an arithmetic number, because the mean of its divisors is an integer number (50770220666706).

Almost surely, 2^{101540441333411} is an apocalyptic number.

101540441333411 is a deficient number, since it is larger than the sum of its proper divisors (1).

101540441333411 is an equidigital number, since it uses as much as digits as its factorization.

101540441333411 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 101540441333411 its reverse (114333144045101), we get a palindrome (215873585378512).

The spelling of 101540441333411 in words is "one hundred one trillion, five hundred forty billion, four hundred forty-one million, three hundred thirty-three thousand, four hundred eleven".