1820100181 has 2 divisors, whose sum is σ = 1820100182. Its totient is φ = 1820100180.

The previous prime is 1820100169. The next prime is 1820100221. The reversal of 1820100181 is 1810010281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1779574225 + 40525956 = 42185^2 + 6366^2 .

It is a cyclic number.

It is not a de Polignac number, because 1820100181 - 2²⁵ = 1786545749 is a prime.

It is a super-2 number, since 2×1820100181² = 6625529337752465522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1820100481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 910050090 + 910050091.

It is an arithmetic number, because the mean of its divisors is an integer number (910050091).

Almost surely, 2^1820100181 is an apocalyptic number.

It is an amenable number.

1820100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1820100181 is an equidigital number, since it uses as much as digits as its factorization.

1820100181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

The square root of 1820100181 is about 42662.6321386761. The cubic root of 1820100181 is about 1220.9515511495.

It can be divided in two parts, 1820100 and 181, that added together give a palindrome (1820281).

The spelling of 1820100181 in words is "one billion, eight hundred twenty million, one hundred thousand, one hundred eighty-one".