1002120181 has 2 divisors, whose sum is σ = 1002120182. Its totient is φ = 1002120180.

The previous prime is 1002120179. The next prime is 1002120227. The reversal of 1002120181 is 1810212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 857904100 + 144216081 = 29290^2 + 12009^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002120181 - 2¹ = 1002120179 is a prime.

It is a super-2 number, since 2×1002120181² = 2008489714334945522, which contains 22 as substring.

Together with 1002120179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002120101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501060090 + 501060091.

It is an arithmetic number, because the mean of its divisors is an integer number (501060091).

Almost surely, 2^1002120181 is an apocalyptic number.

It is an amenable number.

1002120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002120181 is an equidigital number, since it uses as much as digits as its factorization.

1002120181 is an evil number, because the sum of its binary digits is even.

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

The square root of 1002120181 is about 31656.2818568448. The cubic root of 1002120181 is about 1000.7062281244.

Adding to 1002120181 its reverse (1810212001), we get a palindrome (2812332182).

The spelling of 1002120181 in words is "one billion, two million, one hundred twenty thousand, one hundred eighty-one".