10002102210101 has 2 divisors, whose sum is σ = 10002102210102. Its totient is φ = 10002102210100.

The previous prime is 10002102210053. The next prime is 10002102210103. The reversal of 10002102210101 is 10101220120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9548161800100 + 453940410001 = 3090010^2 + 673751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002102210101 is a prime.

Together with 10002102210103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002102210103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001051105050 + 5001051105051.

It is an arithmetic number, because the mean of its divisors is an integer number (5001051105051).

Almost surely, 2^{10002102210101} is an apocalyptic number.

It is an amenable number.

10002102210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002102210101 is an equidigital number, since it uses as much as digits as its factorization.

10002102210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002102210101 its reverse (10101220120001), we get a palindrome (20103322330102).

The spelling of 10002102210101 in words is "ten trillion, two billion, one hundred two million, two hundred ten thousand, one hundred one".