101120101022053 has 2 divisors, whose sum is σ = 101120101022054. Its totient is φ = 101120101022052.

The previous prime is 101120101022051. The next prime is 101120101022111. The reversal of 101120101022053 is 350220101021101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68931805140324 + 32188295881729 = 8302518^2 + 5673473^2 .

It is an emirp because it is prime and its reverse (350220101021101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101120101022053 - 2¹ = 101120101022051 is a prime.

Together with 101120101022051, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101120101022053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120101022051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560050511026 + 50560050511027.

It is an arithmetic number, because the mean of its divisors is an integer number (50560050511027).

Almost surely, 2^{101120101022053} is an apocalyptic number.

It is an amenable number.

101120101022053 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120101022053 is an equidigital number, since it uses as much as digits as its factorization.

101120101022053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 101120101022053 its reverse (350220101021101), we get a palindrome (451340202043154).

The spelling of 101120101022053 in words is "one hundred one trillion, one hundred twenty billion, one hundred one million, twenty-two thousand, fifty-three".