101220100108121 has 2 divisors, whose sum is σ = 101220100108122. Its totient is φ = 101220100108120.

The previous prime is 101220100108103. The next prime is 101220100108129. The reversal of 101220100108121 is 121801001022101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56079654163225 + 45140445944896 = 7488635^2 + 6718664^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220100108121 - 2²⁶ = 101220032999257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101220100108093 and 101220100108102.

It is not a weakly prime, because it can be changed into another prime (101220100108129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610050054060 + 50610050054061.

It is an arithmetic number, because the mean of its divisors is an integer number (50610050054061).

Almost surely, 2^{101220100108121} is an apocalyptic number.

It is an amenable number.

101220100108121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220100108121 is an equidigital number, since it uses as much as digits as its factorization.

101220100108121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

The spelling of 101220100108121 in words is "one hundred one trillion, two hundred twenty billion, one hundred million, one hundred eight thousand, one hundred twenty-one".