10202121112181 has 2 divisors, whose sum is σ = 10202121112182. Its totient is φ = 10202121112180.

The previous prime is 10202121112177. The next prime is 10202121112223. The reversal of 10202121112181 is 18121112120201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9851023385956 + 351097726225 = 3138634^2 + 592535^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202121112181 - 2² = 10202121112177 is a prime.

It is a super-2 number, since 2×10202121112181² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202121112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101060556090 + 5101060556091.

It is an arithmetic number, because the mean of its divisors is an integer number (5101060556091).

Almost surely, 2^{10202121112181} is an apocalyptic number.

It is an amenable number.

10202121112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202121112181 is an equidigital number, since it uses as much as digits as its factorization.

10202121112181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 10202121112181 its reverse (18121112120201), we get a palindrome (28323233232382).

The spelling of 10202121112181 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred eighty-one".