10012102201121 has 2 divisors, whose sum is σ = 10012102201122. Its totient is φ = 10012102201120.

The previous prime is 10012102201099. The next prime is 10012102201133. The reversal of 10012102201121 is 12110220121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6470084100496 + 3542018100625 = 2543636^2 + 1882025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10012102201121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012102201096 and 10012102201105.

It is not a weakly prime, because it can be changed into another prime (10012102201421) 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, 5006051100560 + 5006051100561.

It is an arithmetic number, because the mean of its divisors is an integer number (5006051100561).

Almost surely, 2^{10012102201121} is an apocalyptic number.

It is an amenable number.

10012102201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012102201121 is an equidigital number, since it uses as much as digits as its factorization.

10012102201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012102201121 its reverse (12110220121001), we get a palindrome (22122322322122).

The spelling of 10012102201121 in words is "ten trillion, twelve billion, one hundred two million, two hundred one thousand, one hundred twenty-one".