101220102210121 has 2 divisors, whose sum is σ = 101220102210122. Its totient is φ = 101220102210120.

The previous prime is 101220102210119. The next prime is 101220102210163. The reversal of 101220102210121 is 121012201022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100393666672896 + 826435537225 = 10019664^2 + 909085^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220102210121 - 2¹ = 101220102210119 is a prime.

Together with 101220102210119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101220102210095 and 101220102210104.

It is not a weakly prime, because it can be changed into another prime (101220102213121) 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, 50610051105060 + 50610051105061.

It is an arithmetic number, because the mean of its divisors is an integer number (50610051105061).

Almost surely, 2^{101220102210121} is an apocalyptic number.

It is an amenable number.

101220102210121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220102210121 is an equidigital number, since it uses as much as digits as its factorization.

101220102210121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101220102210121 its reverse (121012201022101), we get a palindrome (222232303232222).

The spelling of 101220102210121 in words is "one hundred one trillion, two hundred twenty billion, one hundred two million, two hundred ten thousand, one hundred twenty-one".