101101124101 has 2 divisors, whose sum is σ = 101101124102. Its totient is φ = 101101124100.

The previous prime is 101101124077. The next prime is 101101124153. The reversal of 101101124101 is 101421101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61241400900 + 39859723201 = 247470^2 + 199649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101124101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101124171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550562050 + 50550562051.

It is an arithmetic number, because the mean of its divisors is an integer number (50550562051).

Almost surely, 2^101101124101 is an apocalyptic number.

It is an amenable number.

101101124101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101124101 is an equidigital number, since it uses as much as digits as its factorization.

101101124101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101124101 its reverse (101421101101), we get a palindrome (202522225202).

The spelling of 101101124101 in words is "one hundred one billion, one hundred one million, one hundred twenty-four thousand, one hundred one".