2102100100253 has 2 divisors, whose sum is σ = 2102100100254. Its totient is φ = 2102100100252.

The previous prime is 2102100100189. The next prime is 2102100100271. The reversal of 2102100100253 is 3520010012012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1893450304729 + 208649795524 = 1376027^2 + 456782^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102100100253 - 2⁶ = 2102100100189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102100100283) 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, 1051050050126 + 1051050050127.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050050127).

Almost surely, 2^{2102100100253} is an apocalyptic number.

It is an amenable number.

2102100100253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102100100253 is an equidigital number, since it uses as much as digits as its factorization.

2102100100253 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 17.

Adding to 2102100100253 its reverse (3520010012012), we get a palindrome (5622110112265).

The spelling of 2102100100253 in words is "two trillion, one hundred two billion, one hundred million, one hundred thousand, two hundred fifty-three".