10010102100121 has 2 divisors, whose sum is σ = 10010102100122. Its totient is φ = 10010102100120.

The previous prime is 10010102100113. The next prime is 10010102100211. The reversal of 10010102100121 is 12100120101001.

Together with next prime (10010102100211) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7526133824400 + 2483968275721 = 2743380^2 + 1576061^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010102100121 - 2³ = 10010102100113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010102100098 and 10010102100107.

It is not a weakly prime, because it can be changed into another prime (10010102100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005051050060 + 5005051050061.

It is an arithmetic number, because the mean of its divisors is an integer number (5005051050061).

Almost surely, 2^{10010102100121} is an apocalyptic number.

It is an amenable number.

10010102100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010102100121 is an equidigital number, since it uses as much as digits as its factorization.

10010102100121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10010102100121 its reverse (12100120101001), we get a palindrome (22110222201122).

The spelling of 10010102100121 in words is "ten trillion, ten billion, one hundred two million, one hundred thousand, one hundred twenty-one".