101020110211253 has 2 divisors, whose sum is σ = 101020110211254. Its totient is φ = 101020110211252.

The previous prime is 101020110211151. The next prime is 101020110211277. The reversal of 101020110211253 is 352112011020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100370382324004 + 649727887249 = 10018502^2 + 806057^2 .

It is an emirp because it is prime and its reverse (352112011020101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101020110211253 - 2⁸ = 101020110210997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020110201253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510055105626 + 50510055105627.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055105627).

Almost surely, 2^{101020110211253} is an apocalyptic number.

It is an amenable number.

101020110211253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020110211253 is an equidigital number, since it uses as much as digits as its factorization.

101020110211253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 101020110211253 its reverse (352112011020101), we get a palindrome (453132121231354).

The spelling of 101020110211253 in words is "one hundred one trillion, twenty billion, one hundred ten million, two hundred eleven thousand, two hundred fifty-three".