101002102121 has 2 divisors, whose sum is σ = 101002102122. Its totient is φ = 101002102120.

The previous prime is 101002102051. The next prime is 101002102127. The reversal of 101002102121 is 121201200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87815024896 + 13187077225 = 296336^2 + 114835^2 .

It is an emirp because it is prime and its reverse (121201200101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101002102121 - 2¹⁰ = 101002101097 is a prime.

It is not a weakly prime, because it can be changed into another prime (101002102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501051060 + 50501051061.

It is an arithmetic number, because the mean of its divisors is an integer number (50501051061).

Almost surely, 2^101002102121 is an apocalyptic number.

It is an amenable number.

101002102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002102121 is an equidigital number, since it uses as much as digits as its factorization.

101002102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002102121 its reverse (121201200101), we get a palindrome (222203302222).

The spelling of 101002102121 in words is "one hundred one billion, two million, one hundred two thousand, one hundred twenty-one".