1010221102001 has 2 divisors, whose sum is σ = 1010221102002. Its totient is φ = 1010221102000.

The previous prime is 1010221101997. The next prime is 1010221102013. The reversal of 1010221102001 is 1002011220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 942745844401 + 67475257600 = 970951^2 + 259760^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010221102001 - 2² = 1010221101997 is a prime.

It is a super-3 number, since 3×1010221102001³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1010221102021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505110551000 + 505110551001.

It is an arithmetic number, because the mean of its divisors is an integer number (505110551001).

Almost surely, 2^{1010221102001} is an apocalyptic number.

It is an amenable number.

1010221102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010221102001 is an equidigital number, since it uses as much as digits as its factorization.

1010221102001 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 11.

Adding to 1010221102001 its reverse (1002011220101), we get a palindrome (2012232322102).

The spelling of 1010221102001 in words is "one trillion, ten billion, two hundred twenty-one million, one hundred two thousand, one".