101141441101 has 2 divisors, whose sum is σ = 101141441102. Its totient is φ = 101141441100.

The previous prime is 101141441099. The next prime is 101141441111. The reversal of 101141441101 is 101144141101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57355460100 + 43785981001 = 239490^2 + 209251^2 .

It is a cyclic number.

It is not a de Polignac number, because 101141441101 - 2¹ = 101141441099 is a prime.

It is a super-2 number, since 2×101141441101² (a number of 23 digits) contains 22 as substring.

Together with 101141441099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101141441111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50570720550 + 50570720551.

It is an arithmetic number, because the mean of its divisors is an integer number (50570720551).

Almost surely, 2^101141441101 is an apocalyptic number.

It is an amenable number.

101141441101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101141441101 is an equidigital number, since it uses as much as digits as its factorization.

101141441101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101141441101 its reverse (101144141101), we get a palindrome (202285582202).

The spelling of 101141441101 in words is "one hundred one billion, one hundred forty-one million, four hundred forty-one thousand, one hundred one".