101010010001053 has 2 divisors, whose sum is σ = 101010010001054. Its totient is φ = 101010010001052.

The previous prime is 101010010001029. The next prime is 101010010001081. The reversal of 101010010001053 is 350100010010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60384913017529 + 40625096983524 = 7770773^2 + 6373782^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010010001053 - 2¹⁷ = 101010009869981 is a prime.

It is a super-2 number, since 2×101010010001053² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010010001083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005000526 + 50505005000527.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005000527).

Almost surely, 2^{101010010001053} is an apocalyptic number.

It is an amenable number.

101010010001053 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010001053 is an equidigital number, since it uses as much as digits as its factorization.

101010010001053 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 13.

Adding to 101010010001053 its reverse (350100010010101), we get a palindrome (451110020011154).

The spelling of 101010010001053 in words is "one hundred one trillion, ten billion, ten million, one thousand, fifty-three".