10012011100121 has 2 divisors, whose sum is σ = 10012011100122. Its totient is φ = 10012011100120.

The previous prime is 10012011100099. The next prime is 10012011100129. The reversal of 10012011100121 is 12100111021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8833616179600 + 1178394920521 = 2972140^2 + 1085539^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10012011100121 is a prime.

It is a super-2 number, since 2×10012011100121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10012011100129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006005550060 + 5006005550061.

It is an arithmetic number, because the mean of its divisors is an integer number (5006005550061).

Almost surely, 2^{10012011100121} is an apocalyptic number.

It is an amenable number.

10012011100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012011100121 is an equidigital number, since it uses as much as digits as its factorization.

10012011100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10012011100121 its reverse (12100111021001), we get a palindrome (22112122121122).

The spelling of 10012011100121 in words is "ten trillion, twelve billion, eleven million, one hundred thousand, one hundred twenty-one".