10100121000001 has 2 divisors, whose sum is σ = 10100121000002. Its totient is φ = 10100121000000.

The previous prime is 10100120999971. The next prime is 10100121000037. The reversal of 10100121000001 is 10000012100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7156700390401 + 2943420609600 = 2675201^2 + 1715640^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100121000001 - 2²⁷ = 10099986782273 is a prime.

It is a super-2 number, since 2×10100121000001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100121000901) 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, 5050060500000 + 5050060500001.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060500001).

Almost surely, 2^{10100121000001} is an apocalyptic number.

It is an amenable number.

10100121000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100121000001 is an equidigital number, since it uses as much as digits as its factorization.

10100121000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100121000001 its reverse (10000012100101), we get a palindrome (20100133100102).

The spelling of 10100121000001 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one", and thus it is an aban number.