102120101 has 2 divisors, whose sum is σ = 102120102. Its totient is φ = 102120100.

The previous prime is 102120077. The next prime is 102120131. The reversal of 102120101 is 101021201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99400900 + 2719201 = 9970^2 + 1649^2 .

It is a cyclic number.

It is not a de Polignac number, because 102120101 - 2¹⁰ = 102119077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102120131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060050 + 51060051.

It is an arithmetic number, because the mean of its divisors is an integer number (51060051).

Almost surely, 2^102120101 is an apocalyptic number.

It is an amenable number.

102120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120101 is an equidigital number, since it uses as much as digits as its factorization.

102120101 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 8.

The square root of 102120101 is about 10105.4490746330. The cubic root of 102120101 is about 467.4161837022.

Adding to 102120101 its reverse (101021201), we get a palindrome (203141302).

The spelling of 102120101 in words is "one hundred two million, one hundred twenty thousand, one hundred one".