10000010102101 has 2 divisors, whose sum is σ = 10000010102102. Its totient is φ = 10000010102100.

The previous prime is 10000010102099. The next prime is 10000010102119. The reversal of 10000010102101 is 10120101000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7555071325201 + 2444938776900 = 2748649^2 + 1563630^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000010102101 - 2¹ = 10000010102099 is a prime.

It is a super-2 number, since 2×10000010102101² (a number of 27 digits) contains 22 as substring.

Together with 10000010102099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000070102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005051050 + 5000005051051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005051051).

Almost surely, 2^{10000010102101} is an apocalyptic number.

It is an amenable number.

10000010102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010102101 is an equidigital number, since it uses as much as digits as its factorization.

10000010102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000010102101 its reverse (10120101000001), we get a palindrome (20120111102102).

The spelling of 10000010102101 in words is "ten trillion, ten million, one hundred two thousand, one hundred one".