10000102100101 has 2 divisors, whose sum is σ = 10000102100102. Its totient is φ = 10000102100100.

The previous prime is 10000102100081. The next prime is 10000102100117. The reversal of 10000102100101 is 10100120100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7122498777601 + 2877603322500 = 2668801^2 + 1696350^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000102100101 - 2¹⁷ = 10000101969029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000102100141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000051050050 + 5000051050051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000051050051).

Almost surely, 2^{10000102100101} is an apocalyptic number.

It is an amenable number.

10000102100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000102100101 is an equidigital number, since it uses as much as digits as its factorization.

10000102100101 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 10000102100101 its reverse (10100120100001), we get a palindrome (20100222200102).

The spelling of 10000102100101 in words is "ten trillion, one hundred two million, one hundred thousand, one hundred one".