1002221201101 has 2 divisors, whose sum is σ = 1002221201102. Its totient is φ = 1002221201100.

The previous prime is 1002221201081. The next prime is 1002221201129. The reversal of 1002221201101 is 1011021222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 988095640900 + 14125560201 = 994030^2 + 118851^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002221201101 - 2³¹ = 1000073717453 is a prime.

It is a super-2 number, since 2×1002221201101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002221201131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501110600550 + 501110600551.

It is an arithmetic number, because the mean of its divisors is an integer number (501110600551).

Almost surely, 2^{1002221201101} is an apocalyptic number.

It is an amenable number.

1002221201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002221201101 is an equidigital number, since it uses as much as digits as its factorization.

1002221201101 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 1002221201101 its reverse (1011021222001), we get a palindrome (2013242423102).

The spelling of 1002221201101 in words is "one trillion, two billion, two hundred twenty-one million, two hundred one thousand, one hundred one".