102121220100101 has 2 divisors, whose sum is σ = 102121220100102. Its totient is φ = 102121220100100.

The previous prime is 102121220100079. The next prime is 102121220100121. The reversal of 102121220100101 is 101001022121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101394930945025 + 726289155076 = 10069505^2 + 852226^2 .

It is an emirp because it is prime and its reverse (101001022121201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102121220100101 - 2⁴⁶ = 31752475922437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102121220100121) 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, 51060610050050 + 51060610050051.

It is an arithmetic number, because the mean of its divisors is an integer number (51060610050051).

Almost surely, 2^{102121220100101} is an apocalyptic number.

It is an amenable number.

102121220100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121220100101 is an equidigital number, since it uses as much as digits as its factorization.

102121220100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102121220100101 its reverse (101001022121201), we get a palindrome (203122242221302).

The spelling of 102121220100101 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twenty million, one hundred thousand, one hundred one".