10020101211121 has 2 divisors, whose sum is σ = 10020101211122. Its totient is φ = 10020101211120.

The previous prime is 10020101211023. The next prime is 10020101211149. The reversal of 10020101211121 is 12111210102001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9727917719521 + 292183491600 = 3118961^2 + 540540^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020101211121 - 2¹¹ = 10020101209073 is a prime.

It is a super-2 number, since 2×10020101211121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10020101241121) 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, 5010050605560 + 5010050605561.

It is an arithmetic number, because the mean of its divisors is an integer number (5010050605561).

Almost surely, 2^{10020101211121} is an apocalyptic number.

It is an amenable number.

10020101211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020101211121 is an equidigital number, since it uses as much as digits as its factorization.

10020101211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10020101211121 its reverse (12111210102001), we get a palindrome (22131311313122).

The spelling of 10020101211121 in words is "ten trillion, twenty billion, one hundred one million, two hundred eleven thousand, one hundred twenty-one".