101101101101053 has 2 divisors, whose sum is σ = 101101101101054. Its totient is φ = 101101101101052.

The previous prime is 101101101101023. The next prime is 101101101101087. The reversal of 101101101101053 is 350101101101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97049825823769 + 4051275277284 = 9851387^2 + 2012778^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101101101053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101101101023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550550526 + 50550550550527.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550550527).

Almost surely, 2^{101101101101053} is an apocalyptic number.

It is an amenable number.

101101101101053 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101101101053 is an equidigital number, since it uses as much as digits as its factorization.

101101101101053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 16.

Adding to 101101101101053 its reverse (350101101101101), we get a palindrome (451202202202154).

The spelling of 101101101101053 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred one thousand, fifty-three".