102020110010101 has 2 divisors, whose sum is σ = 102020110010102. Its totient is φ = 102020110010100.

The previous prime is 102020110010083. The next prime is 102020110010153. The reversal of 102020110010101 is 101010011020201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99024908667876 + 2995201342225 = 9951126^2 + 1730665^2 .

It is an emirp because it is prime and its reverse (101010011020201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102020110010101 - 2⁹ = 102020110009589 is a prime.

It is a super-2 number, since 2×102020110010101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102020110014101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010055005050 + 51010055005051.

It is an arithmetic number, because the mean of its divisors is an integer number (51010055005051).

Almost surely, 2^{102020110010101} is an apocalyptic number.

It is an amenable number.

102020110010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102020110010101 is an equidigital number, since it uses as much as digits as its factorization.

102020110010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102020110010101 its reverse (101010011020201), we get a palindrome (203030121030302).

The spelling of 102020110010101 in words is "one hundred two trillion, twenty billion, one hundred ten million, ten thousand, one hundred one".