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221001113101 is a prime number
BaseRepresentation
bin1100110111010010110…
…0010101111000001101
3210010102221120202202011
43031310230111320031
512110102241104401
6245305420501221
721652420315666
oct3156454257015
9703387522664
10221001113101
11857a940431a
12369b89aa811
1317ac0233812
14a9a732436d
155b37041451
hex3374b15e0d

221001113101 has 2 divisors, whose sum is σ = 221001113102. Its totient is φ = 221001113100.

The previous prime is 221001113071. The next prime is 221001113227. The reversal of 221001113101 is 101311100122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126444248100 + 94556865001 = 355590^2 + 307501^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001113101 - 227 = 220866895373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221001110101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500556550 + 110500556551.

It is an arithmetic number, because the mean of its divisors is an integer number (110500556551).

Almost surely, 2221001113101 is an apocalyptic number.

It is an amenable number.

221001113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001113101 is an equidigital number, since it uses as much as digits as its factorization.

221001113101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 221001113101 its reverse (101311100122), we get a palindrome (322312213223).

The spelling of 221001113101 in words is "two hundred twenty-one billion, one million, one hundred thirteen thousand, one hundred one".