101002100020253 has 2 divisors, whose sum is σ = 101002100020254. Its totient is φ = 101002100020252.

The previous prime is 101002100020201. The next prime is 101002100020259. The reversal of 101002100020253 is 352020001200101.

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., 57009098890969 + 43993001129284 = 7550437^2 + 6632722^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002100020253 - 2¹⁰ = 101002100019229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002100020259) 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, 50501050010126 + 50501050010127.

It is an arithmetic number, because the mean of its divisors is an integer number (50501050010127).

Almost surely, 2^{101002100020253} is an apocalyptic number.

It is an amenable number.

101002100020253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002100020253 is an equidigital number, since it uses as much as digits as its factorization.

101002100020253 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 101002100020253 its reverse (352020001200101), we get a palindrome (453022101220354).

The spelling of 101002100020253 in words is "one hundred one trillion, two billion, one hundred million, twenty thousand, two hundred fifty-three".