102201110010101 has 2 divisors, whose sum is σ = 102201110010102. Its totient is φ = 102201110010100.

The previous prime is 102201110010089. The next prime is 102201110010113. The reversal of 102201110010101 is 101010011102201.

It is a balanced prime because it is at equal distance from previous prime (102201110010089) and next prime (102201110010113).

It can be written as a sum of positive squares in only one way, i.e., 100580861058001 + 1620248952100 = 10029001^2 + 1272890^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201110010101 - 2⁶ = 102201110010037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201110010151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100555005050 + 51100555005051.

It is an arithmetic number, because the mean of its divisors is an integer number (51100555005051).

Almost surely, 2^{102201110010101} is an apocalyptic number.

It is an amenable number.

102201110010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201110010101 is an equidigital number, since it uses as much as digits as its factorization.

102201110010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102201110010101 its reverse (101010011102201), we get a palindrome (203211121112302).

The spelling of 102201110010101 in words is "one hundred two trillion, two hundred one billion, one hundred ten million, ten thousand, one hundred one".