101020102121 has 2 divisors, whose sum is σ = 101020102122. Its totient is φ = 101020102120.

The previous prime is 101020102037. The next prime is 101020102151. The reversal of 101020102121 is 121201020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83847310096 + 17172792025 = 289564^2 + 131045^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020102121 - 2¹⁰ = 101020101097 is a prime.

It is a super-2 number, since 2×101020102121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101020102151) 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, 50510051060 + 50510051061.

It is an arithmetic number, because the mean of its divisors is an integer number (50510051061).

Almost surely, 2^101020102121 is an apocalyptic number.

It is an amenable number.

101020102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020102121 is an equidigital number, since it uses as much as digits as its factorization.

101020102121 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 101020102121 its reverse (121201020101), we get a palindrome (222221122222).

The spelling of 101020102121 in words is "one hundred one billion, twenty million, one hundred two thousand, one hundred twenty-one".