101010100109053 has 2 divisors, whose sum is σ = 101010100109054. Its totient is φ = 101010100109052.

The previous prime is 101010100109047. The next prime is 101010100109059. The reversal of 101010100109053 is 350901001010101.

It is a balanced prime because it is at equal distance from previous prime (101010100109047) and next prime (101010100109059).

It can be written as a sum of positive squares in only one way, i.e., 77027355969529 + 23982744139524 = 8776523^2 + 4897218^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010100109053 - 2¹⁷ = 101010099977981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010100109059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505050054526 + 50505050054527.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050054527).

Almost surely, 2^{101010100109053} is an apocalyptic number.

It is an amenable number.

101010100109053 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010100109053 is an equidigital number, since it uses as much as digits as its factorization.

101010100109053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 22.

Adding to 101010100109053 its reverse (350901001010101), we get a palindrome (451911101119154).

The spelling of 101010100109053 in words is "one hundred one trillion, ten billion, one hundred million, one hundred nine thousand, fifty-three".