1022100181 has 2 divisors, whose sum is σ = 1022100182. Its totient is φ = 1022100180.

The previous prime is 1022100161. The next prime is 1022100187. The reversal of 1022100181 is 1810012201.

1022100181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1021377681 + 722500 = 31959^2 + 850^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022100181 - 2⁹ = 1022099669 is a prime.

It is a super-2 number, since 2×1022100181² = 2089377560000465522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022100187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050090 + 511050091.

It is an arithmetic number, because the mean of its divisors is an integer number (511050091).

Almost surely, 2^1022100181 is an apocalyptic number.

It is an amenable number.

1022100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022100181 is an equidigital number, since it uses as much as digits as its factorization.

1022100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 1022100181 is about 31970.3015469044. The cubic root of 1022100181 is about 1007.3131149768.

Adding to 1022100181 its reverse (1810012201), we get a palindrome (2832112382).

The spelling of 1022100181 in words is "one billion, twenty-two million, one hundred thousand, one hundred eighty-one".