10122012100121 has 2 divisors, whose sum is σ = 10122012100122. Its totient is φ = 10122012100120.

The previous prime is 10122012100117. The next prime is 10122012100127. The reversal of 10122012100121 is 12100121022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10025329038400 + 96683061721 = 3166280^2 + 310939^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122012100121 - 2² = 10122012100117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122012100096 and 10122012100105.

It is not a weakly prime, because it can be changed into another prime (10122012100127) 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, 5061006050060 + 5061006050061.

It is an arithmetic number, because the mean of its divisors is an integer number (5061006050061).

Almost surely, 2^{10122012100121} is an apocalyptic number.

It is an amenable number.

10122012100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122012100121 is an equidigital number, since it uses as much as digits as its factorization.

10122012100121 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 10122012100121 its reverse (12100121022101), we get a palindrome (22222133122222).

The spelling of 10122012100121 in words is "ten trillion, one hundred twenty-two billion, twelve million, one hundred thousand, one hundred twenty-one".