10120212100121 has 2 divisors, whose sum is σ = 10120212100122. Its totient is φ = 10120212100120.

The previous prime is 10120212100111. The next prime is 10120212100139. The reversal of 10120212100121 is 12100121202101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10063836246025 + 56375854096 = 3172355^2 + 237436^2 .

It is an emirp because it is prime and its reverse (12100121202101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10120212100121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120212100096 and 10120212100105.

It is not a weakly prime, because it can be changed into another prime (10120212100111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060106050060 + 5060106050061.

It is an arithmetic number, because the mean of its divisors is an integer number (5060106050061).

Almost surely, 2^{10120212100121} is an apocalyptic number.

It is an amenable number.

10120212100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120212100121 is an equidigital number, since it uses as much as digits as its factorization.

10120212100121 is an evil number, because the sum of its binary digits is even.

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

Adding to 10120212100121 its reverse (12100121202101), we get a palindrome (22220333302222).

The spelling of 10120212100121 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, one hundred thousand, one hundred twenty-one".