10002102122161 has 2 divisors, whose sum is σ = 10002102122162. Its totient is φ = 10002102122160.

The previous prime is 10002102122071. The next prime is 10002102122183. The reversal of 10002102122161 is 16122120120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6555806905761 + 3446295216400 = 2560431^2 + 1856420^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002102122161 - 2³⁵ = 9967742383793 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002102122261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001051061080 + 5001051061081.

It is an arithmetic number, because the mean of its divisors is an integer number (5001051061081).

Almost surely, 2^{10002102122161} is an apocalyptic number.

It is an amenable number.

10002102122161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002102122161 is an equidigital number, since it uses as much as digits as its factorization.

10002102122161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10002102122161 its reverse (16122120120001), we get a palindrome (26124222242162).

The spelling of 10002102122161 in words is "ten trillion, two billion, one hundred two million, one hundred twenty-two thousand, one hundred sixty-one".