221002100010101 has 2 divisors, whose sum is σ = 221002100010102. Its totient is φ = 221002100010100.

The previous prime is 221002100010089. The next prime is 221002100010143. The reversal of 221002100010101 is 101010001200122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212989797988900 + 8012302021201 = 14594170^2 + 2830601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221002100010101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221002100010001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110501050005050 + 110501050005051.

It is an arithmetic number, because the mean of its divisors is an integer number (110501050005051).

Almost surely, 2^{221002100010101} is an apocalyptic number.

It is an amenable number.

221002100010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002100010101 is an equidigital number, since it uses as much as digits as its factorization.

221002100010101 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 221002100010101 its reverse (101010001200122), we get a palindrome (322012101210223).

The spelling of 221002100010101 in words is "two hundred twenty-one trillion, two billion, one hundred million, ten thousand, one hundred one".