102112201010101 has 2 divisors, whose sum is σ = 102112201010102. Its totient is φ = 102112201010100.

The previous prime is 102112201010047. The next prime is 102112201010137. The reversal of 102112201010101 is 101010102211201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74345350640625 + 27766850369476 = 8622375^2 + 5269426^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112201010101 - 2¹¹ = 102112201008053 is a prime.

It is a super-3 number, since 3×102112201010101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112201013101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056100505050 + 51056100505051.

It is an arithmetic number, because the mean of its divisors is an integer number (51056100505051).

Almost surely, 2^{102112201010101} is an apocalyptic number.

It is an amenable number.

102112201010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112201010101 is an equidigital number, since it uses as much as digits as its factorization.

102112201010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102112201010101 its reverse (101010102211201), we get a palindrome (203122303221302).

The spelling of 102112201010101 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, ten thousand, one hundred one".