1002112210181 has 2 divisors, whose sum is σ = 1002112210182. Its totient is φ = 1002112210180.

The previous prime is 1002112210123. The next prime is 1002112210213. The reversal of 1002112210181 is 1810122112001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 916631993281 + 85480216900 = 957409^2 + 292370^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002112210181 - 2³⁰ = 1001038468357 is a prime.

It is a super-2 number, since 2×1002112210181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002112210481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501056105090 + 501056105091.

It is an arithmetic number, because the mean of its divisors is an integer number (501056105091).

Almost surely, 2^{1002112210181} is an apocalyptic number.

It is an amenable number.

1002112210181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002112210181 is an equidigital number, since it uses as much as digits as its factorization.

1002112210181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 1002112210181 its reverse (1810122112001), we get a palindrome (2812234322182).

The spelling of 1002112210181 in words is "one trillion, two billion, one hundred twelve million, two hundred ten thousand, one hundred eighty-one".