10221121000001 has 2 divisors, whose sum is σ = 10221121000002. Its totient is φ = 10221121000000.

The previous prime is 10221120999977. The next prime is 10221121000003. The reversal of 10221121000001 is 10000012112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9978270145600 + 242850854401 = 3158840^2 + 492799^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221121000001 - 2¹⁸ = 10221120737857 is a prime.

It is a super-2 number, since 2×10221121000001² (a number of 27 digits) contains 22 as substring.

Together with 10221121000003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10221121000003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110560500000 + 5110560500001.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560500001).

Almost surely, 2^{10221121000001} is an apocalyptic number.

It is an amenable number.

10221121000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221121000001 is an equidigital number, since it uses as much as digits as its factorization.

10221121000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10221121000001 its reverse (10000012112201), we get a palindrome (20221133112202).

The spelling of 10221121000001 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, one", and thus it is an aban number.