10121120002121 has 2 divisors, whose sum is σ = 10121120002122. Its totient is φ = 10121120002120.

The previous prime is 10121120002079. The next prime is 10121120002139. The reversal of 10121120002121 is 12120002112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10112787963721 + 8332038400 = 3180061^2 + 91280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121120002121 is a prime.

It is a super-3 number, since 3×10121120002121³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121120002096 and 10121120002105.

It is not a weakly prime, because it can be changed into another prime (10121120002421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060560001060 + 5060560001061.

It is an arithmetic number, because the mean of its divisors is an integer number (5060560001061).

Almost surely, 2^{10121120002121} is an apocalyptic number.

It is an amenable number.

10121120002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121120002121 is an equidigital number, since it uses as much as digits as its factorization.

10121120002121 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 10121120002121 its reverse (12120002112101), we get a palindrome (22241122114222).

The spelling of 10121120002121 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, two thousand, one hundred twenty-one".