2221101021001 has 2 divisors, whose sum is σ = 2221101021002. Its totient is φ = 2221101021000.

The previous prime is 2221101020981. The next prime is 2221101021091. The reversal of 2221101021001 is 1001201011222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1931958222601 + 289142798400 = 1389949^2 + 537720^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221101021001 - 2⁴¹ = 22077765449 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221101021091) 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, 1110550510500 + 1110550510501.

It is an arithmetic number, because the mean of its divisors is an integer number (1110550510501).

Almost surely, 2^{2221101021001} is an apocalyptic number.

It is an amenable number.

2221101021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221101021001 is an equidigital number, since it uses as much as digits as its factorization.

2221101021001 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 13.

Adding to 2221101021001 its reverse (1001201011222), we get a palindrome (3222302032223).

The spelling of 2221101021001 in words is "two trillion, two hundred twenty-one billion, one hundred one million, twenty-one thousand, one".