10301112223121 has 2 divisors, whose sum is σ = 10301112223122. Its totient is φ = 10301112223120.

The previous prime is 10301112223097. The next prime is 10301112223133. The reversal of 10301112223121 is 12132221110301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9916295470225 + 384816752896 = 3149015^2 + 620336^2 .

It is a cyclic number.

It is not a de Polignac number, because 10301112223121 - 2¹⁸ = 10301111960977 is a prime.

It is a super-2 number, since 2×10301112223121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10301112223093 and 10301112223102.

It is not a weakly prime, because it can be changed into another prime (10301112225121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150556111560 + 5150556111561.

It is an arithmetic number, because the mean of its divisors is an integer number (5150556111561).

Almost surely, 2^{10301112223121} is an apocalyptic number.

It is an amenable number.

10301112223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301112223121 is an equidigital number, since it uses as much as digits as its factorization.

10301112223121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10301112223121 its reverse (12132221110301), we get a palindrome (22433333333422).

The spelling of 10301112223121 in words is "ten trillion, three hundred one billion, one hundred twelve million, two hundred twenty-three thousand, one hundred twenty-one".