10102121200121 has 2 divisors, whose sum is σ = 10102121200122. Its totient is φ = 10102121200120.

The previous prime is 10102121200117. The next prime is 10102121200147. The reversal of 10102121200121 is 12100212120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6757114308025 + 3345006892096 = 2599445^2 + 1828936^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102121200121 - 2² = 10102121200117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102121200096 and 10102121200105.

It is not a weakly prime, because it can be changed into another prime (10102121200921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051060600060 + 5051060600061.

It is an arithmetic number, because the mean of its divisors is an integer number (5051060600061).

Almost surely, 2^{10102121200121} is an apocalyptic number.

It is an amenable number.

10102121200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102121200121 is an equidigital number, since it uses as much as digits as its factorization.

10102121200121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102121200121 its reverse (12100212120101), we get a palindrome (22202333320222).

The spelling of 10102121200121 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, two hundred thousand, one hundred twenty-one".