101211011073541 has 2 divisors, whose sum is σ = 101211011073542. Its totient is φ = 101211011073540.

The previous prime is 101211011073533. The next prime is 101211011073569. The reversal of 101211011073541 is 145370110112101.

It is an a-pointer prime, because the next prime (101211011073569) can be obtained adding 101211011073541 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67936399461316 + 33274611612225 = 8242354^2 + 5768415^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211011073541 - 2³ = 101211011073533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211011373541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605505536770 + 50605505536771.

It is an arithmetic number, because the mean of its divisors is an integer number (50605505536771).

Almost surely, 2^{101211011073541} is an apocalyptic number.

It is an amenable number.

101211011073541 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211011073541 is an equidigital number, since it uses as much as digits as its factorization.

101211011073541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 28.

Adding to 101211011073541 its reverse (145370110112101), we get a palindrome (246581121185642).

The spelling of 101211011073541 in words is "one hundred one trillion, two hundred eleven billion, eleven million, seventy-three thousand, five hundred forty-one".