10300220010121 has 12 divisors (see below), whose sum is σ = 11319058151820. Its totient is φ = 9360037648640.

The previous prime is 10300220010071. The next prime is 10300220010133. The reversal of 10300220010121 is 12101002200301.

It can be written as a sum of positive squares in 6 ways, for example, as 114139244025 + 10186080766096 = 337845^2 + 3191564^2 .

It is not a de Polignac number, because 10300220010121 - 2¹⁷ = 10300219879049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10300220014121) 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 in 11 ways as a sum of consecutive naturals, for example, 614489890 + ... + 614506651.

It is an arithmetic number, because the mean of its divisors is an integer number (943254845985).

Almost surely, 2^{10300220010121} is an apocalyptic number.

It is an amenable number.

10300220010121 is a deficient number, since it is larger than the sum of its proper divisors (1018838141699).

10300220010121 is a wasteful number, since it uses less digits than its factorization.

10300220010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228996604 (or 1228996587 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10300220010121 its reverse (12101002200301), we get a palindrome (22401222210422).

The spelling of 10300220010121 in words is "ten trillion, three hundred billion, two hundred twenty million, ten thousand, one hundred twenty-one".