1020100002221 has 2 divisors, whose sum is σ = 1020100002222. Its totient is φ = 1020100002220.

The previous prime is 1020100002217. The next prime is 1020100002241. The reversal of 1020100002221 is 1222000010201.

It is a happy number.

1020100002221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 983942979721 + 36157022500 = 991939^2 + 190150^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020100002221 - 2² = 1020100002217 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020100002241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510050001110 + 510050001111.

It is an arithmetic number, because the mean of its divisors is an integer number (510050001111).

Almost surely, 2^{1020100002221} is an apocalyptic number.

It is an amenable number.

1020100002221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020100002221 is an equidigital number, since it uses as much as digits as its factorization.

1020100002221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020100002221 its reverse (1222000010201), we get a palindrome (2242100012422).

The spelling of 1020100002221 in words is "one trillion, twenty billion, one hundred million, two thousand, two hundred twenty-one".