218101153 has 2 divisors, whose sum is σ = 218101154. Its totient is φ = 218101152.

The previous prime is 218101087. The next prime is 218101183. The reversal of 218101153 is 351101812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218064289 + 36864 = 14767^2 + 192^2 .

It is a cyclic number.

It is not a de Polignac number, because 218101153 - 2²⁵ = 184546721 is a prime.

It is a super-2 number, since 2×218101153² = 95136225879858818, which contains 22 as substring.

It is equal to p_12023743 and since 218101153 and 12023743 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (218101183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109050576 + 109050577.

It is an arithmetic number, because the mean of its divisors is an integer number (109050577).

Almost surely, 2^218101153 is an apocalyptic number.

It is an amenable number.

218101153 is a deficient number, since it is larger than the sum of its proper divisors (1).

218101153 is an equidigital number, since it uses as much as digits as its factorization.

218101153 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.

The square root of 218101153 is about 14768.2481357810. The cubic root of 218101153 is about 601.9392375474.

Adding to 218101153 its reverse (351101812), we get a palindrome (569202965).

The spelling of 218101153 in words is "two hundred eighteen million, one hundred one thousand, one hundred fifty-three".