10002101202101 has 2 divisors, whose sum is σ = 10002101202102. Its totient is φ = 10002101202100.

The previous prime is 10002101202073. The next prime is 10002101202127. The reversal of 10002101202101 is 10120210120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9760931814001 + 241169388100 = 3124249^2 + 491090^2 .

It is an emirp because it is prime and its reverse (10120210120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002101202101 - 2²² = 10002097007797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002101202161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001050601050 + 5001050601051.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050601051).

Almost surely, 2^{10002101202101} is an apocalyptic number.

It is an amenable number.

10002101202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002101202101 is an equidigital number, since it uses as much as digits as its factorization.

10002101202101 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 10002101202101 its reverse (10120210120001), we get a palindrome (20122311322102).

The spelling of 10002101202101 in words is "ten trillion, two billion, one hundred one million, two hundred two thousand, one hundred one".