2102121010181 has 2 divisors, whose sum is σ = 2102121010182. Its totient is φ = 2102121010180.

The previous prime is 2102121010159. The next prime is 2102121010189. The reversal of 2102121010181 is 1810101212012.

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., 1415526478081 + 686594532100 = 1189759^2 + 828610^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102121010181 - 2²⁶ = 2102053901317 is a prime.

It is a super-2 number, since 2×2102121010181² (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 (2102121010189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051060505090 + 1051060505091.

It is an arithmetic number, because the mean of its divisors is an integer number (1051060505091).

Almost surely, 2^{2102121010181} is an apocalyptic number.

It is an amenable number.

2102121010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102121010181 is an equidigital number, since it uses as much as digits as its factorization.

2102121010181 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2102121010181 its reverse (1810101212012), we get a palindrome (3912222222193).

The spelling of 2102121010181 in words is "two trillion, one hundred two billion, one hundred twenty-one million, ten thousand, one hundred eighty-one".