200221010100101 has 2 divisors, whose sum is σ = 200221010100102. Its totient is φ = 200221010100100.

The previous prime is 200221010100079. The next prime is 200221010100151. The reversal of 200221010100101 is 101001010122002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198753885960100 + 1467124140001 = 14098010^2 + 1211249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200221010100101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200221010100151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100110505050050 + 100110505050051.

It is an arithmetic number, because the mean of its divisors is an integer number (100110505050051).

Almost surely, 2^{200221010100101} is an apocalyptic number.

It is an amenable number.

200221010100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200221010100101 is an equidigital number, since it uses as much as digits as its factorization.

200221010100101 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 200221010100101 its reverse (101001010122002), we get a palindrome (301222020222103).

The spelling of 200221010100101 in words is "two hundred trillion, two hundred twenty-one billion, ten million, one hundred thousand, one hundred one".