221101101021253 has 2 divisors, whose sum is σ = 221101101021254. Its totient is φ = 221101101021252.

The previous prime is 221101101021197. The next prime is 221101101021271. The reversal of 221101101021253 is 352120101101122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152603082040644 + 68498018980609 = 12353262^2 + 8276353^2 .

It is a cyclic number.

It is not a de Polignac number, because 221101101021253 - 2¹⁷ = 221101100890181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221101101024253) 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, 110550550510626 + 110550550510627.

It is an arithmetic number, because the mean of its divisors is an integer number (110550550510627).

Almost surely, 2^{221101101021253} is an apocalyptic number.

It is an amenable number.

221101101021253 is a deficient number, since it is larger than the sum of its proper divisors (1).

221101101021253 is an equidigital number, since it uses as much as digits as its factorization.

221101101021253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 221101101021253 its reverse (352120101101122), we get a palindrome (573221202122375).

The spelling of 221101101021253 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred one million, twenty-one thousand, two hundred fifty-three".