102022022100253 has 2 divisors, whose sum is σ = 102022022100254. Its totient is φ = 102022022100252.

The previous prime is 102022022100149. The next prime is 102022022100293. The reversal of 102022022100253 is 352001220220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94106335508964 + 7915686591289 = 9700842^2 + 2813483^2 .

It is an emirp because it is prime and its reverse (352001220220201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102022022100253 - 2³⁷ = 101884583146781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102022022100293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51011011050126 + 51011011050127.

It is an arithmetic number, because the mean of its divisors is an integer number (51011011050127).

Almost surely, 2^{102022022100253} is an apocalyptic number.

It is an amenable number.

102022022100253 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022022100253 is an equidigital number, since it uses as much as digits as its factorization.

102022022100253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 102022022100253 its reverse (352001220220201), we get a palindrome (454023242320454).

The spelling of 102022022100253 in words is "one hundred two trillion, twenty-two billion, twenty-two million, one hundred thousand, two hundred fifty-three".