10012102212121 has 2 divisors, whose sum is σ = 10012102212122. Its totient is φ = 10012102212120.

The previous prime is 10012102212109. The next prime is 10012102212139. The reversal of 10012102212121 is 12121220121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9077717055625 + 934385156496 = 3012925^2 + 966636^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012102212121 - 2¹⁵ = 10012102179353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012102212095 and 10012102212104.

It is not a weakly prime, because it can be changed into another prime (10012102212221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006051106060 + 5006051106061.

It is an arithmetic number, because the mean of its divisors is an integer number (5006051106061).

Almost surely, 2^{10012102212121} is an apocalyptic number.

It is an amenable number.

10012102212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012102212121 is an equidigital number, since it uses as much as digits as its factorization.

10012102212121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10012102212121 its reverse (12121220121001), we get a palindrome (22133322333122).

The spelling of 10012102212121 in words is "ten trillion, twelve billion, one hundred two million, two hundred twelve thousand, one hundred twenty-one".